Least Common Multiple of 457/73, 115/26, 421/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 457/73, 115/26, 421/89 quickly i.e. 22125655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 457/73, 115/26, 421/89 is 22125655.

LCM(457/73, 115/26, 421/89) = 22125655

LCM of 457/73, 115/26, 421/89

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 457/73,115/26,421/89

Given numbers are 457/73,115/26,421/89

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 457,115,421

Least Common Multiple of Numerators i.e. LCM of 457,115,421 is 22125655.

GCF of Denominators means GCF of 73,26,89 as per the given fractions.

GCF of 73,26,89 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 457,115,421

LCM of Fractions 457/73,115/26,421/89 is 22125655

Given numbers has no common factors except 1. So, there LCM is their product i.e 22125655

Least Common Multiple of 457,115,421 with GCF Formula

Least Common Multiple of 457,115,421 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 457,115,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,115,421) = 1

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

GCF(457,115,421) x common factors =1 x 1 = 1

LCM(457,115,421) = ( 457 × 115 × 421 ) / 1

LCM(457,115,421) = 22125655 / 1

LCM(457,115,421) = 22125655


Lets's calculate GCF of 73,26,89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22125655/1

Therefore the LCM of Fractions 457/73,115/26,421/89 is 22125655

Greatest Common Factor of 73,26,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,26,89 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 73,26,89 . The biggest common factor number is the GCF number.
So the greatest common factor 73,26,89 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 457/73, 115/26, 421/89

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 457/73, 115/26, 421/89?

Answer: LCM of Numerators as per given numbers 457/73, 115/26, 421/89 is

LCM of Numerators i.e. for 457,115,421 is 22125655

GCF of denominators i.e. for 73,26,89 is 1.

Thus, LCM of Fractions is 22125655.Finally, LCM of Fractions for 457/73, 115/26, 421/89 is 22125655.