Least Common Multiple of 427/621, 159/314, 451/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/621, 159/314, 451/725 quickly i.e. 30619743 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/621, 159/314, 451/725 is 30619743.

LCM(427/621, 159/314, 451/725) = 30619743

LCM of 427/621, 159/314, 451/725

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 427/621,159/314,451/725

Given numbers are 427/621,159/314,451/725

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 427,159,451

Least Common Multiple of Numerators i.e. LCM of 427,159,451 is 30619743.

GCF of Denominators means GCF of 621,314,725 as per the given fractions.

GCF of 621,314,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,159,451

LCM of Fractions 427/621,159/314,451/725 is 30619743

Given numbers has no common factors except 1. So, there LCM is their product i.e 30619743

Least Common Multiple of 427,159,451 with GCF Formula

Least Common Multiple of 427,159,451 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 427,159,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,159,451) = 1

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

GCF(427,159,451) x common factors =1 x 1 = 1

LCM(427,159,451) = ( 427 × 159 × 451 ) / 1

LCM(427,159,451) = 30619743 / 1

LCM(427,159,451) = 30619743


Lets's calculate GCF of 621,314,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30619743/1

Therefore the LCM of Fractions 427/621,159/314,451/725 is 30619743

Greatest Common Factor of 621,314,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,314,725 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 621,314,725 . The biggest common factor number is the GCF number.
So the greatest common factor 621,314,725 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 427/621, 159/314, 451/725

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 427/621, 159/314, 451/725?

Answer: LCM of Numerators as per given numbers 427/621, 159/314, 451/725 is

LCM of Numerators i.e. for 427,159,451 is 30619743

GCF of denominators i.e. for 621,314,725 is 1.

Thus, LCM of Fractions is 30619743.Finally, LCM of Fractions for 427/621, 159/314, 451/725 is 30619743.