Least Common Multiple of 928/365, 704/917, 142/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 928/365, 704/917, 142/524 quickly i.e. 1449536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/365, 704/917, 142/524 is 1449536.

LCM(928/365, 704/917, 142/524) = 1449536

LCM of 928/365, 704/917, 142/524

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 928/365,704/917,142/524

Given numbers are 928/365,704/917,142/524

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 928,704,142

Least Common Multiple of Numerators i.e. LCM of 928,704,142 is 1449536.

GCF of Denominators means GCF of 365,917,524 as per the given fractions.

GCF of 365,917,524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,704,142

LCM of Fractions 928/365,704/917,142/524 is 1449536

2 928, 704, 142
2 464, 352, 71
2 232, 176, 71
2 116, 88, 71
2 58, 44, 71
29, 22, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 29 x 22 x 71 = 1449536

Least Common Multiple of 928,704,142 with GCF Formula

Least Common Multiple of 928,704,142 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 928,704,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,704,142) = 2

common factors(in case of two or more numbers have common factors) = 32

GCF(928,704,142) x common factors =2 x 32 = 64

LCM(928,704,142) = ( 928 × 704 × 142 ) / 64

LCM(928,704,142) = 92770304 / 64

LCM(928,704,142) = 1449536


Lets's calculate GCF of 365,917,524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1449536/1

Therefore the LCM of Fractions 928/365,704/917,142/524 is 1449536

Greatest Common Factor of 365,917,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,917,524 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 365,917,524 . The biggest common factor number is the GCF number.
So the greatest common factor 365,917,524 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 928/365, 704/917, 142/524

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 928/365, 704/917, 142/524?

Answer: LCM of Numerators as per given numbers 928/365, 704/917, 142/524 is

LCM of Numerators i.e. for 928,704,142 is 1449536

GCF of denominators i.e. for 365,917,524 is 1.

Thus, LCM of Fractions is 1449536.Finally, LCM of Fractions for 928/365, 704/917, 142/524 is 1449536.