Least Common Multiple of 56/145, 8925/9543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/145, 8925/9543 quickly i.e. 71400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/145, 8925/9543 is 71400.

LCM(56/145, 8925/9543) = 71400

LCM of 56/145, 8925/9543

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 56/145,8925/9543

Given numbers are 56/145,8925/9543

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 56,8925

Least Common Multiple of Numerators i.e. LCM of 56,8925 is 71400.

GCF of Denominators means GCF of 145,9543 as per the given fractions.

GCF of 145,9543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,8925

LCM of Fractions 56/145,8925/9543 is 71400

7 56, 8925
8, 1275

∴ So the LCM of the given numbers is 7 x 8 x 1275 = 71400

Least Common Multiple of 56,8925 with GCF Formula

Least Common Multiple of 56,8925 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 56,8925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,8925) = 7

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

GCF(56,8925) x common factors =7 x 1 = 7

LCM(56,8925) = ( 56 × 8925 ) / 7

LCM(56,8925) = 499800 / 7

LCM(56,8925) = 71400


Lets's calculate GCF of 145,9543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71400/1

Therefore the LCM of Fractions 56/145,8925/9543 is 71400

Greatest Common Factor of 145,9543 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,9543 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 9543

List of positive integer factors of 9543 that divides 9543 without a remainder.

1,3,3181,9543

Greatest Common Factor

We found the factors 145,9543 . The biggest common factor number is the GCF number.
So the greatest common factor 145,9543 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/145, 8925/9543

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 56/145, 8925/9543?

Answer: LCM of Numerators as per given numbers 56/145, 8925/9543 is

LCM of Numerators i.e. for 56,8925 is 71400

GCF of denominators i.e. for 145,9543 is 1.

Thus, LCM of Fractions is 71400.Finally, LCM of Fractions for 56/145, 8925/9543 is 71400.