Least Common Multiple of 57/20, 920/38, 398/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/20, 920/38, 398/552 quickly i.e. 5217780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/20, 920/38, 398/552 is 5217780.

LCM(57/20, 920/38, 398/552) = 5217780

LCM of 57/20, 920/38, 398/552

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 57/20,920/38,398/552

Given numbers are 57/20,920/38,398/552

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 57,920,398

Least Common Multiple of Numerators i.e. LCM of 57,920,398 is 10435560.

GCF of Denominators means GCF of 20,38,552 as per the given fractions.

GCF of 20,38,552 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,920,398

LCM of Fractions 57/20,920/38,398/552 is 5217780

2 57, 920, 398
57, 460, 199

∴ So the LCM of the given numbers is 2 x 57 x 460 x 199 = 10435560

Least Common Multiple of 57,920,398 with GCF Formula

Least Common Multiple of 57,920,398 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 57,920,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,920,398) = 1

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

GCF(57,920,398) x common factors =1 x 2 = 2

LCM(57,920,398) = ( 57 × 920 × 398 ) / 2

LCM(57,920,398) = 20871120 / 2

LCM(57,920,398) = 10435560


Lets's calculate GCF of 20,38,552

2 20, 38, 552
10, 19, 276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10435560/2

Therefore the LCM of Fractions 57/20,920/38,398/552 is 5217780

Greatest Common Factor of 20,38,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,38,552 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 20,38,552 . The biggest common factor number is the GCF number.
So the greatest common factor 20,38,552 is 2.


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 57/20, 920/38, 398/552

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 57/20, 920/38, 398/552?

Answer: LCM of Numerators as per given numbers 57/20, 920/38, 398/552 is

LCM of Numerators i.e. for 57,920,398 is 10435560

GCF of denominators i.e. for 20,38,552 is 2.

Thus, LCM of Fractions is 5217780.Finally, LCM of Fractions for 57/20, 920/38, 398/552 is 5217780.