Least Common Multiple of 54/160, 580/654, 431/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/160, 580/654, 431/922 quickly i.e. 3374730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/160, 580/654, 431/922 is 3374730.

LCM(54/160, 580/654, 431/922) = 3374730

LCM of 54/160, 580/654, 431/922

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 54/160,580/654,431/922

Given numbers are 54/160,580/654,431/922

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 54,580,431

Least Common Multiple of Numerators i.e. LCM of 54,580,431 is 6749460.

GCF of Denominators means GCF of 160,654,922 as per the given fractions.

GCF of 160,654,922 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,580,431

LCM of Fractions 54/160,580/654,431/922 is 3374730

2 54, 580, 431
27, 290, 431

∴ So the LCM of the given numbers is 2 x 27 x 290 x 431 = 6749460

Least Common Multiple of 54,580,431 with GCF Formula

Least Common Multiple of 54,580,431 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 54,580,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,580,431) = 1

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

GCF(54,580,431) x common factors =1 x 2 = 2

LCM(54,580,431) = ( 54 × 580 × 431 ) / 2

LCM(54,580,431) = 13498920 / 2

LCM(54,580,431) = 6749460


Lets's calculate GCF of 160,654,922

2 160, 654, 922
80, 327, 461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6749460/2

Therefore the LCM of Fractions 54/160,580/654,431/922 is 3374730

Greatest Common Factor of 160,654,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,654,922 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 160,654,922 . The biggest common factor number is the GCF number.
So the greatest common factor 160,654,922 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 54/160, 580/654, 431/922

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 54/160, 580/654, 431/922?

Answer: LCM of Numerators as per given numbers 54/160, 580/654, 431/922 is

LCM of Numerators i.e. for 54,580,431 is 6749460

GCF of denominators i.e. for 160,654,922 is 2.

Thus, LCM of Fractions is 3374730.Finally, LCM of Fractions for 54/160, 580/654, 431/922 is 3374730.