# 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, . Author: Dura Dusida Country: Nicaragua Language: English (Spanish) Genre: Environment Published (Last): 16 February 2006 Pages: 412 PDF File Size: 8.2 Mb ePub File Size: 20.88 Mb ISBN: 480-2-20269-864-9 Downloads: 66740 Price: Free* [*Free Regsitration Required] Uploader: Voodoobar Let’s start with an Example Suppose in the exam, we need to find LCM of 4 and 6. Becomes tedious, as the number grows bigger, for example LCM First recall, in which tables do they come?

### The Highest Common Factor (HCF) and the Lowest Common Multiple (LCM).

Get notified whenever I post new article! Multiples of 3 are 3, 6,9, 12,15,18, 21,24, Find the least common multiple of 4, 6, and 8 Multiples of 4 are: If the sum of two number is 55 and the hcf and LCM of there number are 5and respectively then the sum of reciprocals of the number is equal of.

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Thefore all prime factors of 30 are 2, 3 and 5. Prime and Composite Numbers. There are many tricks, the easiest one is prime-factorization. Ans 12 is smallest. Find the length of largest square tile that can be evenly laid on it. Your email address will not be published.

## Least Common Multiple

Multiples of 3 are 3,6,9,12, 15 ,18,21,24,27, 30 ,33, 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. Similarly if I divide 6 by 2, I get zero remainder. We get a multiple of a number when we multiply it by another number. The common factors or of 12 and 18 are hcr, 2, 3 and 6. Least Common Multiple of 3 and 5: In other words, 2 is the factor of both 4 and 6. A factor of a given number is every number that divides exactly into that number.

Multiples of 5 are 5,10, 15 ,20,25, 30 ,35, Multiples of 4 are: HCF uttorial also important for remainder related questions. Thus, 4 and 6 have two common factors 1 and 2 but highest of these common factors is 2. F is useful when simplifying fractions.

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

So the least common multiple of 4 and 10 is In other words, 4 and 6 come in the table of 1. Copyright – Adam Malinowski.

Multiples of 6 are: Make prime factors Number Prime factors 12 2 2 x 3 15 3 x 5 20 2 2 x 5 Make a new row, write all prime factors in ascending order. F is the largest of all the common factors.

So HCF of such numbers is always 1. So both sides match. The best way is to keep finding the factors of ycf smaller number, starting from the largest factor.