Least Common Multiple of 39/757, 8689/7924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/757, 8689/7924 quickly i.e. 338871 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/757, 8689/7924 is 338871.

LCM(39/757, 8689/7924) = 338871

LCM of 39/757, 8689/7924

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 39/757,8689/7924

Given numbers are 39/757,8689/7924

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 39,8689

Least Common Multiple of Numerators i.e. LCM of 39,8689 is 338871.

GCF of Denominators means GCF of 757,7924 as per the given fractions.

GCF of 757,7924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,8689

LCM of Fractions 39/757,8689/7924 is 338871

Given numbers has no common factors except 1. So, there LCM is their product i.e 338871

Least Common Multiple of 39,8689 with GCF Formula

Least Common Multiple of 39,8689 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 39,8689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,8689) = 1

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

GCF(39,8689) x common factors =1 x 1 = 1

LCM(39,8689) = ( 39 × 8689 ) / 1

LCM(39,8689) = 338871 / 1

LCM(39,8689) = 338871


Lets's calculate GCF of 757,7924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338871/1

Therefore the LCM of Fractions 39/757,8689/7924 is 338871

Greatest Common Factor of 757,7924 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,7924 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 7924

List of positive integer factors of 7924 that divides 7924 without a remainder.

1,2,4,7,14,28,283,566,1132,1981,3962,7924

Greatest Common Factor

We found the factors 757,7924 . The biggest common factor number is the GCF number.
So the greatest common factor 757,7924 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/757, 8689/7924

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 39/757, 8689/7924?

Answer: LCM of Numerators as per given numbers 39/757, 8689/7924 is

LCM of Numerators i.e. for 39,8689 is 338871

GCF of denominators i.e. for 757,7924 is 1.

Thus, LCM of Fractions is 338871.Finally, LCM of Fractions for 39/757, 8689/7924 is 338871.