Least Common Multiple of 60/56, 672/58, 484/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/56, 672/58, 484/281 quickly i.e. 406560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/56, 672/58, 484/281 is 406560.

LCM(60/56, 672/58, 484/281) = 406560

LCM of 60/56, 672/58, 484/281

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 60/56,672/58,484/281

Given numbers are 60/56,672/58,484/281

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 60,672,484

Least Common Multiple of Numerators i.e. LCM of 60,672,484 is 406560.

GCF of Denominators means GCF of 56,58,281 as per the given fractions.

GCF of 56,58,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,672,484

LCM of Fractions 60/56,672/58,484/281 is 406560

2 60, 672, 484
2 30, 336, 242
3 15, 168, 121
5, 56, 121

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 56 x 121 = 406560

Least Common Multiple of 60,672,484 with GCF Formula

Least Common Multiple of 60,672,484 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 60,672,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,672,484) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(60,672,484) x common factors =4 x 12 = 48

LCM(60,672,484) = ( 60 × 672 × 484 ) / 48

LCM(60,672,484) = 19514880 / 48

LCM(60,672,484) = 406560


Lets's calculate GCF of 56,58,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406560/1

Therefore the LCM of Fractions 60/56,672/58,484/281 is 406560

Greatest Common Factor of 56,58,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,58,281 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 56,58,281 . The biggest common factor number is the GCF number.
So the greatest common factor 56,58,281 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 60/56, 672/58, 484/281

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 60/56, 672/58, 484/281?

Answer: LCM of Numerators as per given numbers 60/56, 672/58, 484/281 is

LCM of Numerators i.e. for 60,672,484 is 406560

GCF of denominators i.e. for 56,58,281 is 1.

Thus, LCM of Fractions is 406560.Finally, LCM of Fractions for 60/56, 672/58, 484/281 is 406560.