Least Common Multiple of 872/76, 926/64, 377/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/76, 926/64, 377/684 quickly i.e. 38052118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/76, 926/64, 377/684 is 38052118.

LCM(872/76, 926/64, 377/684) = 38052118

LCM of 872/76, 926/64, 377/684

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 872/76,926/64,377/684

Given numbers are 872/76,926/64,377/684

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 872,926,377

Least Common Multiple of Numerators i.e. LCM of 872,926,377 is 152208472.

GCF of Denominators means GCF of 76,64,684 as per the given fractions.

GCF of 76,64,684 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,926,377

LCM of Fractions 872/76,926/64,377/684 is 38052118

2 872, 926, 377
436, 463, 377

∴ So the LCM of the given numbers is 2 x 436 x 463 x 377 = 152208472

Least Common Multiple of 872,926,377 with GCF Formula

Least Common Multiple of 872,926,377 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 872,926,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,926,377) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(872,926,377) x common factors =1 x 2 = 2

LCM(872,926,377) = ( 872 × 926 × 377 ) / 2

LCM(872,926,377) = 304416944 / 2

LCM(872,926,377) = 152208472


Lets's calculate GCF of 76,64,684

2 76, 64, 684
2 38, 32, 342
19, 16, 171

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152208472/4

Therefore the LCM of Fractions 872/76,926/64,377/684 is 38052118

Greatest Common Factor of 76,64,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,64,684 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 76,64,684 . The biggest common factor number is the GCF number.
So the greatest common factor 76,64,684 is 4.


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 872/76, 926/64, 377/684

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 872/76, 926/64, 377/684?

Answer: LCM of Numerators as per given numbers 872/76, 926/64, 377/684 is

LCM of Numerators i.e. for 872,926,377 is 152208472

GCF of denominators i.e. for 76,64,684 is 4.

Thus, LCM of Fractions is 38052118.Finally, LCM of Fractions for 872/76, 926/64, 377/684 is 38052118.