Least Common Multiple of 53/543, 43/157, 117/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/543, 43/157, 117/945 quickly i.e. 266643 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/543, 43/157, 117/945 is 266643.

LCM(53/543, 43/157, 117/945) = 266643

LCM of 53/543, 43/157, 117/945

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 53/543,43/157,117/945

Given numbers are 53/543,43/157,117/945

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 53,43,117

Least Common Multiple of Numerators i.e. LCM of 53,43,117 is 266643.

GCF of Denominators means GCF of 543,157,945 as per the given fractions.

GCF of 543,157,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,43,117

LCM of Fractions 53/543,43/157,117/945 is 266643

Given numbers has no common factors except 1. So, there LCM is their product i.e 266643

Least Common Multiple of 53,43,117 with GCF Formula

Least Common Multiple of 53,43,117 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 53,43,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,43,117) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(53,43,117) x common factors =1 x 1 = 1

LCM(53,43,117) = ( 53 × 43 × 117 ) / 1

LCM(53,43,117) = 266643 / 1

LCM(53,43,117) = 266643


Lets's calculate GCF of 543,157,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266643/1

Therefore the LCM of Fractions 53/543,43/157,117/945 is 266643

Greatest Common Factor of 543,157,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,157,945 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 543,157,945 . The biggest common factor number is the GCF number.
So the greatest common factor 543,157,945 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 53/543, 43/157, 117/945

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 53/543, 43/157, 117/945?

Answer: LCM of Numerators as per given numbers 53/543, 43/157, 117/945 is

LCM of Numerators i.e. for 53,43,117 is 266643

GCF of denominators i.e. for 543,157,945 is 1.

Thus, LCM of Fractions is 266643.Finally, LCM of Fractions for 53/543, 43/157, 117/945 is 266643.