Least Common Multiple of 420/356, 628/147, 389/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/356, 628/147, 389/107 quickly i.e. 25650660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/356, 628/147, 389/107 is 25650660.

LCM(420/356, 628/147, 389/107) = 25650660

LCM of 420/356, 628/147, 389/107

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 420/356,628/147,389/107

Given numbers are 420/356,628/147,389/107

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 420,628,389

Least Common Multiple of Numerators i.e. LCM of 420,628,389 is 25650660.

GCF of Denominators means GCF of 356,147,107 as per the given fractions.

GCF of 356,147,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,628,389

LCM of Fractions 420/356,628/147,389/107 is 25650660

2 420, 628, 389
2 210, 314, 389
105, 157, 389

∴ So the LCM of the given numbers is 2 x 2 x 105 x 157 x 389 = 25650660

Least Common Multiple of 420,628,389 with GCF Formula

Least Common Multiple of 420,628,389 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 420,628,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,628,389) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(420,628,389) x common factors =1 x 4 = 4

LCM(420,628,389) = ( 420 × 628 × 389 ) / 4

LCM(420,628,389) = 102602640 / 4

LCM(420,628,389) = 25650660


Lets's calculate GCF of 356,147,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25650660/1

Therefore the LCM of Fractions 420/356,628/147,389/107 is 25650660

Greatest Common Factor of 356,147,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,147,107 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 356,147,107 . The biggest common factor number is the GCF number.
So the greatest common factor 356,147,107 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 420/356, 628/147, 389/107

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 420/356, 628/147, 389/107?

Answer: LCM of Numerators as per given numbers 420/356, 628/147, 389/107 is

LCM of Numerators i.e. for 420,628,389 is 25650660

GCF of denominators i.e. for 356,147,107 is 1.

Thus, LCM of Fractions is 25650660.Finally, LCM of Fractions for 420/356, 628/147, 389/107 is 25650660.