Least Common Multiple of 77/37, 50/72, 76/86, 91/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/37, 50/72, 76/86, 91/640 quickly i.e. 1901900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/37, 50/72, 76/86, 91/640 is 1901900.

LCM(77/37, 50/72, 76/86, 91/640) = 1901900

LCM of 77/37, 50/72, 76/86, 91/640

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 77/37,50/72,76/86,91/640

Given numbers are 77/37,50/72,76/86,91/640

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 77,50,76,91

Least Common Multiple of Numerators i.e. LCM of 77,50,76,91 is 1901900.

GCF of Denominators means GCF of 37,72,86,640 as per the given fractions.

GCF of 37,72,86,640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,50,76,91

LCM of Fractions 77/37,50/72,76/86,91/640 is 1901900

2 77, 50, 76, 91
7 77, 25, 38, 91
11, 25, 38, 13

∴ So the LCM of the given numbers is 2 x 7 x 11 x 25 x 38 x 13 = 1901900

Least Common Multiple of 77,50,76,91 with GCF Formula

Least Common Multiple of 77,50,76,91 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 77,50,76,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,50,76,91) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(77,50,76,91) x common factors =1 x 14 = 14

LCM(77,50,76,91) = ( 77 × 50 × 76 × 91 ) / 14

LCM(77,50,76,91) = 26626600 / 14

LCM(77,50,76,91) = 1901900


Lets's calculate GCF of 37,72,86,640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1901900/1

Therefore the LCM of Fractions 77/37,50/72,76/86,91/640 is 1901900

Greatest Common Factor of 37,72,86,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,72,86,640 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 37,72,86,640 . The biggest common factor number is the GCF number.
So the greatest common factor 37,72,86,640 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 77/37, 50/72, 76/86, 91/640

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 77/37, 50/72, 76/86, 91/640?

Answer: LCM of Numerators as per given numbers 77/37, 50/72, 76/86, 91/640 is

LCM of Numerators i.e. for 77,50,76,91 is 1901900

GCF of denominators i.e. for 37,72,86,640 is 1.

Thus, LCM of Fractions is 1901900.Finally, LCM of Fractions for 77/37, 50/72, 76/86, 91/640 is 1901900.