Least Common Multiple of 653/115, 334/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 653/115, 334/421 quickly i.e. 218102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 653/115, 334/421 is 218102.

LCM(653/115, 334/421) = 218102

LCM of 653/115, 334/421

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 653/115,334/421

Given numbers are 653/115,334/421

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 653,334

Least Common Multiple of Numerators i.e. LCM of 653,334 is 218102.

GCF of Denominators means GCF of 115,421 as per the given fractions.

GCF of 115,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 653,334

LCM of Fractions 653/115,334/421 is 218102

Given numbers has no common factors except 1. So, there LCM is their product i.e 218102

Least Common Multiple of 653,334 with GCF Formula

Least Common Multiple of 653,334 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 653,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,334) = 1

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

GCF(653,334) x common factors =1 x 1 = 1

LCM(653,334) = ( 653 × 334 ) / 1

LCM(653,334) = 218102 / 1

LCM(653,334) = 218102


Lets's calculate GCF of 115,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218102/1

Therefore the LCM of Fractions 653/115,334/421 is 218102

Greatest Common Factor of 115,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,421 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 115,421 . The biggest common factor number is the GCF number.
So the greatest common factor 115,421 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 653/115, 334/421

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 653/115, 334/421?

Answer: LCM of Numerators as per given numbers 653/115, 334/421 is

LCM of Numerators i.e. for 653,334 is 218102

GCF of denominators i.e. for 115,421 is 1.

Thus, LCM of Fractions is 218102.Finally, LCM of Fractions for 653/115, 334/421 is 218102.