Least Common Multiple of 22/936, 77/782, 320/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/936, 77/782, 320/116 quickly i.e. 12320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/936, 77/782, 320/116 is 12320.

LCM(22/936, 77/782, 320/116) = 12320

LCM of 22/936, 77/782, 320/116

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 22/936,77/782,320/116

Given numbers are 22/936,77/782,320/116

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 22,77,320

Least Common Multiple of Numerators i.e. LCM of 22,77,320 is 24640.

GCF of Denominators means GCF of 936,782,116 as per the given fractions.

GCF of 936,782,116 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,77,320

LCM of Fractions 22/936,77/782,320/116 is 12320

2 22, 77, 320
11 11, 77, 160
1, 7, 160

∴ So the LCM of the given numbers is 2 x 11 x 1 x 7 x 160 = 24640

Least Common Multiple of 22,77,320 with GCF Formula

Least Common Multiple of 22,77,320 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 22,77,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,77,320) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(22,77,320) x common factors =1 x 22 = 22

LCM(22,77,320) = ( 22 × 77 × 320 ) / 22

LCM(22,77,320) = 542080 / 22

LCM(22,77,320) = 24640


Lets's calculate GCF of 936,782,116

2 936, 782, 116
468, 391, 58

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24640/2

Therefore the LCM of Fractions 22/936,77/782,320/116 is 12320

Greatest Common Factor of 936,782,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,782,116 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 936,782,116 . The biggest common factor number is the GCF number.
So the greatest common factor 936,782,116 is 2.


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 22/936, 77/782, 320/116

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 22/936, 77/782, 320/116?

Answer: LCM of Numerators as per given numbers 22/936, 77/782, 320/116 is

LCM of Numerators i.e. for 22,77,320 is 24640

GCF of denominators i.e. for 936,782,116 is 2.

Thus, LCM of Fractions is 12320.Finally, LCM of Fractions for 22/936, 77/782, 320/116 is 12320.