Least Common Multiple of 56/843, 52/142, 454/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/843, 52/142, 454/406 quickly i.e. 165256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/843, 52/142, 454/406 is 165256.

LCM(56/843, 52/142, 454/406) = 165256

LCM of 56/843, 52/142, 454/406

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 56/843,52/142,454/406

Given numbers are 56/843,52/142,454/406

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 56,52,454

Least Common Multiple of Numerators i.e. LCM of 56,52,454 is 165256.

GCF of Denominators means GCF of 843,142,406 as per the given fractions.

GCF of 843,142,406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,52,454

LCM of Fractions 56/843,52/142,454/406 is 165256

2 56, 52, 454
2 28, 26, 227
14, 13, 227

∴ So the LCM of the given numbers is 2 x 2 x 14 x 13 x 227 = 165256

Least Common Multiple of 56,52,454 with GCF Formula

Least Common Multiple of 56,52,454 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 56,52,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,52,454) = 2

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

GCF(56,52,454) x common factors =2 x 4 = 8

LCM(56,52,454) = ( 56 × 52 × 454 ) / 8

LCM(56,52,454) = 1322048 / 8

LCM(56,52,454) = 165256


Lets's calculate GCF of 843,142,406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165256/1

Therefore the LCM of Fractions 56/843,52/142,454/406 is 165256

Greatest Common Factor of 843,142,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,142,406 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 843,142,406 . The biggest common factor number is the GCF number.
So the greatest common factor 843,142,406 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 56/843, 52/142, 454/406

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 56/843, 52/142, 454/406?

Answer: LCM of Numerators as per given numbers 56/843, 52/142, 454/406 is

LCM of Numerators i.e. for 56,52,454 is 165256

GCF of denominators i.e. for 843,142,406 is 1.

Thus, LCM of Fractions is 165256.Finally, LCM of Fractions for 56/843, 52/142, 454/406 is 165256.