Least Common Multiple of 180/985, 514/108, 464/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 180/985, 514/108, 464/524 quickly i.e. 5366160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 180/985, 514/108, 464/524 is 5366160.

LCM(180/985, 514/108, 464/524) = 5366160

LCM of 180/985, 514/108, 464/524

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 180/985,514/108,464/524

Given numbers are 180/985,514/108,464/524

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 180,514,464

Least Common Multiple of Numerators i.e. LCM of 180,514,464 is 5366160.

GCF of Denominators means GCF of 985,108,524 as per the given fractions.

GCF of 985,108,524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 180,514,464

LCM of Fractions 180/985,514/108,464/524 is 5366160

2 180, 514, 464
2 90, 257, 232
45, 257, 116

∴ So the LCM of the given numbers is 2 x 2 x 45 x 257 x 116 = 5366160

Least Common Multiple of 180,514,464 with GCF Formula

Least Common Multiple of 180,514,464 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 180,514,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,514,464) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(180,514,464) x common factors =2 x 4 = 8

LCM(180,514,464) = ( 180 × 514 × 464 ) / 8

LCM(180,514,464) = 42929280 / 8

LCM(180,514,464) = 5366160


Lets's calculate GCF of 985,108,524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5366160/1

Therefore the LCM of Fractions 180/985,514/108,464/524 is 5366160

Greatest Common Factor of 985,108,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,108,524 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

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 985,108,524 . The biggest common factor number is the GCF number.
So the greatest common factor 985,108,524 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 180/985, 514/108, 464/524

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 180/985, 514/108, 464/524?

Answer: LCM of Numerators as per given numbers 180/985, 514/108, 464/524 is

LCM of Numerators i.e. for 180,514,464 is 5366160

GCF of denominators i.e. for 985,108,524 is 1.

Thus, LCM of Fractions is 5366160.Finally, LCM of Fractions for 180/985, 514/108, 464/524 is 5366160.