Least Common Multiple of 54/913, 5410/4543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/913, 5410/4543 quickly i.e. 146070/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/913, 5410/4543 is 146070/11.

LCM(54/913, 5410/4543) = 146070/11

LCM of 54/913, 5410/4543

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 54/913,5410/4543

Given numbers are 54/913,5410/4543

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 54,5410

Least Common Multiple of Numerators i.e. LCM of 54,5410 is 146070.

GCF of Denominators means GCF of 913,4543 as per the given fractions.

GCF of 913,4543 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,5410

LCM of Fractions 54/913,5410/4543 is 146070/11

2 54, 5410
27, 2705

∴ So the LCM of the given numbers is 2 x 27 x 2705 = 146070

Least Common Multiple of 54,5410 with GCF Formula

Least Common Multiple of 54,5410 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 54,5410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,5410) = 2

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

GCF(54,5410) x common factors =2 x 1 = 2

LCM(54,5410) = ( 54 × 5410 ) / 2

LCM(54,5410) = 292140 / 2

LCM(54,5410) = 146070


Lets's calculate GCF of 913,4543

11 913, 4543
83, 413

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146070/11

Therefore the LCM of Fractions 54/913,5410/4543 is 146070/11

Greatest Common Factor of 913,4543 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,4543 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 4543

List of positive integer factors of 4543 that divides 4543 without a remainder.

1,7,11,59,77,413,649,4543

Greatest Common Factor

We found the factors 913,4543 . The biggest common factor number is the GCF number.
So the greatest common factor 913,4543 is 11.


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 54/913, 5410/4543

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 54/913, 5410/4543?

Answer: LCM of Numerators as per given numbers 54/913, 5410/4543 is

LCM of Numerators i.e. for 54,5410 is 146070

GCF of denominators i.e. for 913,4543 is 11.

Thus, LCM of Fractions is 146070/11.Finally, LCM of Fractions for 54/913, 5410/4543 is 146070/11.