Least Common Multiple of 54/562, 20/780, 672/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/562, 20/780, 672/417 quickly i.e. 30240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/562, 20/780, 672/417 is 30240.

LCM(54/562, 20/780, 672/417) = 30240

LCM of 54/562, 20/780, 672/417

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 54/562,20/780,672/417

Given numbers are 54/562,20/780,672/417

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 54,20,672

Least Common Multiple of Numerators i.e. LCM of 54,20,672 is 30240.

GCF of Denominators means GCF of 562,780,417 as per the given fractions.

GCF of 562,780,417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,20,672

LCM of Fractions 54/562,20/780,672/417 is 30240

2 54, 20, 672
2 27, 10, 336
3 27, 5, 168
9, 5, 56

∴ So the LCM of the given numbers is 2 x 2 x 3 x 9 x 5 x 56 = 30240

Least Common Multiple of 54,20,672 with GCF Formula

Least Common Multiple of 54,20,672 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 54,20,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,20,672) = 2

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

GCF(54,20,672) x common factors =2 x 12 = 24

LCM(54,20,672) = ( 54 × 20 × 672 ) / 24

LCM(54,20,672) = 725760 / 24

LCM(54,20,672) = 30240


Lets's calculate GCF of 562,780,417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30240/1

Therefore the LCM of Fractions 54/562,20/780,672/417 is 30240

Greatest Common Factor of 562,780,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,780,417 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 562,780,417 . The biggest common factor number is the GCF number.
So the greatest common factor 562,780,417 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 54/562, 20/780, 672/417

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 54/562, 20/780, 672/417?

Answer: LCM of Numerators as per given numbers 54/562, 20/780, 672/417 is

LCM of Numerators i.e. for 54,20,672 is 30240

GCF of denominators i.e. for 562,780,417 is 1.

Thus, LCM of Fractions is 30240.Finally, LCM of Fractions for 54/562, 20/780, 672/417 is 30240.