Least Common Multiple of 7413/39, 7609/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7413/39, 7609/152 quickly i.e. 8057931 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7413/39, 7609/152 is 8057931.

LCM(7413/39, 7609/152) = 8057931

LCM of 7413/39, 7609/152

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7413/39,7609/152

Given numbers are 7413/39,7609/152

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7413,7609

Least Common Multiple of Numerators i.e. LCM of 7413,7609 is 8057931.

GCF of Denominators means GCF of 39,152 as per the given fractions.

GCF of 39,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7413,7609

LCM of Fractions 7413/39,7609/152 is 8057931

7 7413, 7609
1059, 1087

∴ So the LCM of the given numbers is 7 x 1059 x 1087 = 8057931

Least Common Multiple of 7413,7609 with GCF Formula

Least Common Multiple of 7413,7609 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 7413,7609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7413,7609) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(7413,7609) x common factors =7 x 1 = 7

LCM(7413,7609) = ( 7413 × 7609 ) / 7

LCM(7413,7609) = 56405517 / 7

LCM(7413,7609) = 8057931


Lets's calculate GCF of 39,152

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8057931/1

Therefore the LCM of Fractions 7413/39,7609/152 is 8057931

Greatest Common Factor of 39,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,152 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 39,152 . The biggest common factor number is the GCF number.
So the greatest common factor 39,152 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7413/39, 7609/152

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7413/39, 7609/152?

Answer: LCM of Numerators as per given numbers 7413/39, 7609/152 is

LCM of Numerators i.e. for 7413,7609 is 8057931

GCF of denominators i.e. for 39,152 is 1.

Thus, LCM of Fractions is 8057931.Finally, LCM of Fractions for 7413/39, 7609/152 is 8057931.