# HCF AND LCM TUTORIAL PDF

17 Mar Shortcuts explained: How to find LCM, How to find HCF? How to solve LCM-HCF related problems without mugging up any formulas?. Common Factors. Highest Common Factor (H.C.F). Finding H.C.F. of Big Numbers. Multiples. Common Multiples. Lowest Common Multiple (L.C.M.). Finding. Least Common Multiple of 3 and 5: List the Multiples of each number,. The multiples of 3 are 3, 6, 9, 12, 15, 18, etc. The multiples of 5 are 5, 10, 15, 20, 25, .

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Thus, 4 chf 6 have two common factors 1 and 2 but highest of these common factors is 2. HCF of two numbers 4, 6 First make prime factors of given numbers.

## Aptitude – HCF and LCM

The number is divisible by: F is the largest of all the common factors. Now multiple the numbers given in LCM row. Your concept is very good. Number Prime factors 12 2 2 x 3 15 3 x 5 20 2 2 x 5 LCM 2,3,5 In the last row, Write the maximum power of those prime numbers.

On the other hand, consider this number: Let’s start with an Example HCF and write the prime numbers that are common in both numbers. The simple method of finding the L. When you multiply a given whole number by any other whole numberthe result is a multiple of that number. Least Common Multiple The smallest positive number that ttorial a multiple of two or more numbers.

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So after how many minutes will they meet for the first time on the starting point? The best way is to keep finding the factors of the smaller number, starting from the largest factor.

Prime and Composite Numbers. LCM of co-prime numbers Aand prime numbers are those numbers that donot have any common factors. Jamit Fractions – Lesson Contents. For example Numbers LCM 12,15,20 60 so greater than biggest number 20 15,30 In fact, all whole numbers that are not prime are composite except for 1 and 0which are not prime and not composite.

Just like the multiplication table.

So, the common multiples of 4 and 5 are: Now both of them start running from the same point at the same time in the same direction. We will do the same with the result or quotientand we will keep dividing by prime numbers until we have 1 as a quotient.

### Unit 2 Section 4 : Highest Common Factor and Lowest Common Multiple

In other words, 2 is the factor of both 4 and 6. F of two or more numbers is the largest turorial that divides evenly into both numbers. The factors of 10 are 1, 2, 5, So 24 is the least common multiple I can’t find a smaller one!

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You can also look at it in following way: There is ans method: Similarly consecutive numbers likedonot have common factors either. After how many minutes will they ring together?

Make a table like this Number Factors 4 6 Now you need to find the prime factors of 4 and 6. But this is not always true for three numbers.

### Least common multiple (video) | Khan Academy

Multiples of 12 are 12, Multiples of 6 are: Number 1 and the number itself are always factors of any number. Ans 12 is smallest. The multiples of 3 are 3, 6, 9, 12, 15, 18,