Least Common Multiple of 253/545, 921/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/545, 921/759 quickly i.e. 233013 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/545, 921/759 is 233013.

LCM(253/545, 921/759) = 233013

LCM of 253/545, 921/759

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 253/545,921/759

Given numbers are 253/545,921/759

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 253,921

Least Common Multiple of Numerators i.e. LCM of 253,921 is 233013.

GCF of Denominators means GCF of 545,759 as per the given fractions.

GCF of 545,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,921

LCM of Fractions 253/545,921/759 is 233013

Given numbers has no common factors except 1. So, there LCM is their product i.e 233013

Least Common Multiple of 253,921 with GCF Formula

Least Common Multiple of 253,921 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 253,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,921) = 1

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

GCF(253,921) x common factors =1 x 1 = 1

LCM(253,921) = ( 253 × 921 ) / 1

LCM(253,921) = 233013 / 1

LCM(253,921) = 233013


Lets's calculate GCF of 545,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233013/1

Therefore the LCM of Fractions 253/545,921/759 is 233013

Greatest Common Factor of 545,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,759 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 545,759 . The biggest common factor number is the GCF number.
So the greatest common factor 545,759 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 253/545, 921/759

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 253/545, 921/759?

Answer: LCM of Numerators as per given numbers 253/545, 921/759 is

LCM of Numerators i.e. for 253,921 is 233013

GCF of denominators i.e. for 545,759 is 1.

Thus, LCM of Fractions is 233013.Finally, LCM of Fractions for 253/545, 921/759 is 233013.