Least Common Multiple of 77/527, 71/188, 594/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/527, 71/188, 594/879 quickly i.e. 295218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/527, 71/188, 594/879 is 295218.

LCM(77/527, 71/188, 594/879) = 295218

LCM of 77/527, 71/188, 594/879

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 77/527,71/188,594/879

Given numbers are 77/527,71/188,594/879

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 77,71,594

Least Common Multiple of Numerators i.e. LCM of 77,71,594 is 295218.

GCF of Denominators means GCF of 527,188,879 as per the given fractions.

GCF of 527,188,879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,71,594

LCM of Fractions 77/527,71/188,594/879 is 295218

11 77, 71, 594
7, 71, 54

∴ So the LCM of the given numbers is 11 x 7 x 71 x 54 = 295218

Least Common Multiple of 77,71,594 with GCF Formula

Least Common Multiple of 77,71,594 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 77,71,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,71,594) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,71,594) x common factors =1 x 11 = 11

LCM(77,71,594) = ( 77 × 71 × 594 ) / 11

LCM(77,71,594) = 3247398 / 11

LCM(77,71,594) = 295218


Lets's calculate GCF of 527,188,879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295218/1

Therefore the LCM of Fractions 77/527,71/188,594/879 is 295218

Greatest Common Factor of 527,188,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,188,879 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 527,188,879 . The biggest common factor number is the GCF number.
So the greatest common factor 527,188,879 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 77/527, 71/188, 594/879

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 77/527, 71/188, 594/879?

Answer: LCM of Numerators as per given numbers 77/527, 71/188, 594/879 is

LCM of Numerators i.e. for 77,71,594 is 295218

GCF of denominators i.e. for 527,188,879 is 1.

Thus, LCM of Fractions is 295218.Finally, LCM of Fractions for 77/527, 71/188, 594/879 is 295218.