Least Common Multiple of 932/712, 204/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 932/712, 204/918 quickly i.e. 23766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 932/712, 204/918 is 23766.

LCM(932/712, 204/918) = 23766

LCM of 932/712, 204/918

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 932/712,204/918

Given numbers are 932/712,204/918

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 932,204

Least Common Multiple of Numerators i.e. LCM of 932,204 is 47532.

GCF of Denominators means GCF of 712,918 as per the given fractions.

GCF of 712,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 932,204

LCM of Fractions 932/712,204/918 is 23766

2 932, 204
2 466, 102
233, 51

∴ So the LCM of the given numbers is 2 x 2 x 233 x 51 = 47532

Least Common Multiple of 932,204 with GCF Formula

Least Common Multiple of 932,204 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 932,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,204) = 4

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

GCF(932,204) x common factors =4 x 1 = 4

LCM(932,204) = ( 932 × 204 ) / 4

LCM(932,204) = 190128 / 4

LCM(932,204) = 47532


Lets's calculate GCF of 712,918

2 712, 918
356, 459

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47532/2

Therefore the LCM of Fractions 932/712,204/918 is 23766

Greatest Common Factor of 712,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,918 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 712,918 . The biggest common factor number is the GCF number.
So the greatest common factor 712,918 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 932/712, 204/918

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 932/712, 204/918?

Answer: LCM of Numerators as per given numbers 932/712, 204/918 is

LCM of Numerators i.e. for 932,204 is 47532

GCF of denominators i.e. for 712,918 is 2.

Thus, LCM of Fractions is 23766.Finally, LCM of Fractions for 932/712, 204/918 is 23766.