Least Common Multiple of 77/577, 92/187, 875/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/577, 92/187, 875/261 quickly i.e. 885500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/577, 92/187, 875/261 is 885500.

LCM(77/577, 92/187, 875/261) = 885500

LCM of 77/577, 92/187, 875/261

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 77/577,92/187,875/261

Given numbers are 77/577,92/187,875/261

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 77,92,875

Least Common Multiple of Numerators i.e. LCM of 77,92,875 is 885500.

GCF of Denominators means GCF of 577,187,261 as per the given fractions.

GCF of 577,187,261 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,92,875

LCM of Fractions 77/577,92/187,875/261 is 885500

7 77, 92, 875
11, 92, 125

∴ So the LCM of the given numbers is 7 x 11 x 92 x 125 = 885500

Least Common Multiple of 77,92,875 with GCF Formula

Least Common Multiple of 77,92,875 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 77,92,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,92,875) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,92,875) x common factors =1 x 7 = 7

LCM(77,92,875) = ( 77 × 92 × 875 ) / 7

LCM(77,92,875) = 6198500 / 7

LCM(77,92,875) = 885500


Lets's calculate GCF of 577,187,261

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 885500/1

Therefore the LCM of Fractions 77/577,92/187,875/261 is 885500

Greatest Common Factor of 577,187,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,187,261 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 577,187,261 . The biggest common factor number is the GCF number.
So the greatest common factor 577,187,261 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/577, 92/187, 875/261

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 77/577, 92/187, 875/261?

Answer: LCM of Numerators as per given numbers 77/577, 92/187, 875/261 is

LCM of Numerators i.e. for 77,92,875 is 885500

GCF of denominators i.e. for 577,187,261 is 1.

Thus, LCM of Fractions is 885500.Finally, LCM of Fractions for 77/577, 92/187, 875/261 is 885500.