# Find the lcm and the hcf

Factors and Multiples if number a divided another number b exactly, we say that a is a factor of b. In this case, b is called a multiple of a. Comment on this formula 2. In this post, we will discuss what is LCM and HCF and also solve few frequently asked questions by using simple division and multiplication method. What do mean by Factors? A factor of a number are all those numbers, which exactly divide the given number.

Likewise the factors of 5, 6, 7, 8 are given below. What do you mean by Multiples? Multiples of a number are those numbers which are exactly divisible by the given number. The multiples of 4 are 4,8,12,16,20 etc. Like wise the multiples of the number 5, 6, 7, 8 are given below.

As you can look in the table given below, the numbers in the table have only two factors. A Composite Number is a number which has more than two factors. As you can look in the table given below, the numbers in the table have more than two factors.

The difference between a prime number and a composite number is that- a prime number has exactly 2 factors and a composite number has more than two factors. Least Common Multiple LCM of two given numbers is the least number which is exactly divisible by each one of the given number.

Find the LCM of 3 and 4. Given below is the list of multiples that 3 and 4 have. The least common multiple between the two numbers is Therefore, The LCM of 3 and 4 is It is not possible to write down the multiples of all the numbers as it is a long procedure.

So, we follow a method to solve such questions. Eliminate the numbers which are the factors of other numbers. Highest Common Factor HCF of two or more given numbers is the highest number which exactly divides all the numbers. What is the HCF of 12 and 16?

Write down all the factors of the given number and check which is the highest common factor between the two given number- Therefore, the HCF of 12 and 16 is 4. It is a tedious job to write all the factors first and then finding the highest common factor.

So we take the simple division method which will help us to find the HCF of the given number. If the numbers given are prime numbers then there HCF is 1.

Therefore, the HCF of 12 and 16 is 4. At a given point of time, we can find HCF for only numbers. In this case, for example, lets take the 3 numbers as a, b, c. We first find the HCF of a and b.

HCF of 10 and 35 Step 2: The HCF of 10 and 35 is 5. Now we take the HCF of 5 and Therefore the HCF of 10,35 and 50 is 5.A - Find the LCM of two Numbers LCM and HCF of two integers LCM of two numbers Example 1: Find the LCM of 66 and Find the prime factorization of the two numbers.

Example: Find the least common multiple of 6 and The multiples of 6 are: 6, 12, 18, 24, 30, and the multiples of 15 are: 15, 30, There is a match at So the least common multiple of 6 and 15 is More than 2 Numbers.

We can also find the least common multiple of three (or more) numbers. How to find hcf and lcm easily: Here we are going to see how to find highest common factor.

We can find H.C.F any two or more numbers using ladder diagram method. Now we can see the steps to be followed while using ladder diagram method to find H.C.F and L.C.M of any two or more numbers. On the other hand, Least Common Multiple (LCM) is the smallest common multiple of the whole numbers.

Both HCF and LCM carry a great significance in mathematics, physics and engineering. Writing a program to find the HCF and LCM of two whole numbers is a .

HCF Calculator. Here is the interesting HCF calculator to find the highest common factor for the given list of numbers. Such factor is also referred to as the greatest common factor (GCF) or greatest common measure (GCM) or highest common divisor is the highest .

Finding Numbers Given Their LCM and HCF. This post consists of a method for solving questions on Finding Numbers Given Their LCM and HCF for the Maths GCSE and IGCSE Examinations. The same method involving Prime Factorisation of the LCM is applied to 8 examples.

Relation between HCF and LCM and Calculation of HCF and LCM for Fractions and Decimals