Least Common Multiple of 77/137, 413/489, 540/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/137, 413/489, 540/888 quickly i.e. 2453220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/137, 413/489, 540/888 is 2453220.

LCM(77/137, 413/489, 540/888) = 2453220

LCM of 77/137, 413/489, 540/888

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 77/137,413/489,540/888

Given numbers are 77/137,413/489,540/888

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 77,413,540

Least Common Multiple of Numerators i.e. LCM of 77,413,540 is 2453220.

GCF of Denominators means GCF of 137,489,888 as per the given fractions.

GCF of 137,489,888 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,413,540

LCM of Fractions 77/137,413/489,540/888 is 2453220

7 77, 413, 540
11, 59, 540

∴ So the LCM of the given numbers is 7 x 11 x 59 x 540 = 2453220

Least Common Multiple of 77,413,540 with GCF Formula

Least Common Multiple of 77,413,540 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 77,413,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,413,540) = 1

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

GCF(77,413,540) x common factors =1 x 7 = 7

LCM(77,413,540) = ( 77 × 413 × 540 ) / 7

LCM(77,413,540) = 17172540 / 7

LCM(77,413,540) = 2453220


Lets's calculate GCF of 137,489,888

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2453220/1

Therefore the LCM of Fractions 77/137,413/489,540/888 is 2453220

Greatest Common Factor of 137,489,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,489,888 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 137,489,888 . The biggest common factor number is the GCF number.
So the greatest common factor 137,489,888 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 77/137, 413/489, 540/888

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 77/137, 413/489, 540/888?

Answer: LCM of Numerators as per given numbers 77/137, 413/489, 540/888 is

LCM of Numerators i.e. for 77,413,540 is 2453220

GCF of denominators i.e. for 137,489,888 is 1.

Thus, LCM of Fractions is 2453220.Finally, LCM of Fractions for 77/137, 413/489, 540/888 is 2453220.