Least Common Multiple of 632/541, 876/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 632/541, 876/307 quickly i.e. 138408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 632/541, 876/307 is 138408.

LCM(632/541, 876/307) = 138408

LCM of 632/541, 876/307

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 632/541,876/307

Given numbers are 632/541,876/307

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 632,876

Least Common Multiple of Numerators i.e. LCM of 632,876 is 138408.

GCF of Denominators means GCF of 541,307 as per the given fractions.

GCF of 541,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 632,876

LCM of Fractions 632/541,876/307 is 138408

2 632, 876
2 316, 438
158, 219

∴ So the LCM of the given numbers is 2 x 2 x 158 x 219 = 138408

Least Common Multiple of 632,876 with GCF Formula

Least Common Multiple of 632,876 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 632,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,876) = 4

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

GCF(632,876) x common factors =4 x 1 = 4

LCM(632,876) = ( 632 × 876 ) / 4

LCM(632,876) = 553632 / 4

LCM(632,876) = 138408


Lets's calculate GCF of 541,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138408/1

Therefore the LCM of Fractions 632/541,876/307 is 138408

Greatest Common Factor of 541,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 541,307 By Matching Biggest Common Factor Method

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 541,307 . The biggest common factor number is the GCF number.
So the greatest common factor 541,307 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 632/541, 876/307

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 632/541, 876/307?

Answer: LCM of Numerators as per given numbers 632/541, 876/307 is

LCM of Numerators i.e. for 632,876 is 138408

GCF of denominators i.e. for 541,307 is 1.

Thus, LCM of Fractions is 138408.Finally, LCM of Fractions for 632/541, 876/307 is 138408.