Least Common Multiple of 20/314, 35/747, 420/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/314, 35/747, 420/356 quickly i.e. 420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/314, 35/747, 420/356 is 420.

LCM(20/314, 35/747, 420/356) = 420

LCM of 20/314, 35/747, 420/356

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 20/314,35/747,420/356

Given numbers are 20/314,35/747,420/356

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 20,35,420

Least Common Multiple of Numerators i.e. LCM of 20,35,420 is 420.

GCF of Denominators means GCF of 314,747,356 as per the given fractions.

GCF of 314,747,356 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,35,420

LCM of Fractions 20/314,35/747,420/356 is 420

2 20, 35, 420
2 10, 35, 210
5 5, 35, 105
7 1, 7, 21
1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 1 x 3 = 420

Least Common Multiple of 20,35,420 with GCF Formula

Least Common Multiple of 20,35,420 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 20,35,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,35,420) = 5

common factors(in case of two or more numbers have common factors) = 140

GCF(20,35,420) x common factors =5 x 140 = 700

LCM(20,35,420) = ( 20 × 35 × 420 ) / 700

LCM(20,35,420) = 294000 / 700

LCM(20,35,420) = 420


Lets's calculate GCF of 314,747,356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420/1

Therefore the LCM of Fractions 20/314,35/747,420/356 is 420

Greatest Common Factor of 314,747,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,747,356 By Matching Biggest Common Factor Method

Factors of 314

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

1,2,157,314

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 356

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

1,2,4,89,178,356

Greatest Common Factor

We found the factors 314,747,356 . The biggest common factor number is the GCF number.
So the greatest common factor 314,747,356 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 20/314, 35/747, 420/356

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 20/314, 35/747, 420/356?

Answer: LCM of Numerators as per given numbers 20/314, 35/747, 420/356 is

LCM of Numerators i.e. for 20,35,420 is 420

GCF of denominators i.e. for 314,747,356 is 1.

Thus, LCM of Fractions is 420.Finally, LCM of Fractions for 20/314, 35/747, 420/356 is 420.