Least Common Multiple of 420/156, 417/371, 976/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/156, 417/371, 976/482 quickly i.e. 14244720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/156, 417/371, 976/482 is 14244720.

LCM(420/156, 417/371, 976/482) = 14244720

LCM of 420/156, 417/371, 976/482

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 420/156,417/371,976/482

Given numbers are 420/156,417/371,976/482

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 420,417,976

Least Common Multiple of Numerators i.e. LCM of 420,417,976 is 14244720.

GCF of Denominators means GCF of 156,371,482 as per the given fractions.

GCF of 156,371,482 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,417,976

LCM of Fractions 420/156,417/371,976/482 is 14244720

2 420, 417, 976
2 210, 417, 488
3 105, 417, 244
35, 139, 244

∴ So the LCM of the given numbers is 2 x 2 x 3 x 35 x 139 x 244 = 14244720

Least Common Multiple of 420,417,976 with GCF Formula

Least Common Multiple of 420,417,976 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 420,417,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,417,976) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(420,417,976) x common factors =1 x 12 = 12

LCM(420,417,976) = ( 420 × 417 × 976 ) / 12

LCM(420,417,976) = 170936640 / 12

LCM(420,417,976) = 14244720


Lets's calculate GCF of 156,371,482

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14244720/1

Therefore the LCM of Fractions 420/156,417/371,976/482 is 14244720

Greatest Common Factor of 156,371,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,371,482 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 156,371,482 . The biggest common factor number is the GCF number.
So the greatest common factor 156,371,482 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 420/156, 417/371, 976/482

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 420/156, 417/371, 976/482?

Answer: LCM of Numerators as per given numbers 420/156, 417/371, 976/482 is

LCM of Numerators i.e. for 420,417,976 is 14244720

GCF of denominators i.e. for 156,371,482 is 1.

Thus, LCM of Fractions is 14244720.Finally, LCM of Fractions for 420/156, 417/371, 976/482 is 14244720.