Least Common Multiple of 76/402, 2328/3640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/402, 2328/3640 quickly i.e. 22116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/402, 2328/3640 is 22116.

LCM(76/402, 2328/3640) = 22116

LCM of 76/402, 2328/3640

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 76/402,2328/3640

Given numbers are 76/402,2328/3640

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 76,2328

Least Common Multiple of Numerators i.e. LCM of 76,2328 is 44232.

GCF of Denominators means GCF of 402,3640 as per the given fractions.

GCF of 402,3640 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,2328

LCM of Fractions 76/402,2328/3640 is 22116

2 76, 2328
2 38, 1164
19, 582

∴ So the LCM of the given numbers is 2 x 2 x 19 x 582 = 44232

Least Common Multiple of 76,2328 with GCF Formula

Least Common Multiple of 76,2328 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 76,2328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,2328) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(76,2328) x common factors =4 x 1 = 4

LCM(76,2328) = ( 76 × 2328 ) / 4

LCM(76,2328) = 176928 / 4

LCM(76,2328) = 44232


Lets's calculate GCF of 402,3640

2 402, 3640
201, 1820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44232/2

Therefore the LCM of Fractions 76/402,2328/3640 is 22116

Greatest Common Factor of 402,3640 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,3640 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 3640

List of positive integer factors of 3640 that divides 3640 without a remainder.

1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640

Greatest Common Factor

We found the factors 402,3640 . The biggest common factor number is the GCF number.
So the greatest common factor 402,3640 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 76/402, 2328/3640

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 76/402, 2328/3640?

Answer: LCM of Numerators as per given numbers 76/402, 2328/3640 is

LCM of Numerators i.e. for 76,2328 is 44232

GCF of denominators i.e. for 402,3640 is 2.

Thus, LCM of Fractions is 22116.Finally, LCM of Fractions for 76/402, 2328/3640 is 22116.