Least Common Multiple of 420/656, 9912/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/656, 9912/212 quickly i.e. 12390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/656, 9912/212 is 12390.

LCM(420/656, 9912/212) = 12390

LCM of 420/656, 9912/212

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 420/656,9912/212

Given numbers are 420/656,9912/212

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 420,9912

Least Common Multiple of Numerators i.e. LCM of 420,9912 is 49560.

GCF of Denominators means GCF of 656,212 as per the given fractions.

GCF of 656,212 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,9912

LCM of Fractions 420/656,9912/212 is 12390

2 420, 9912
2 210, 4956
3 105, 2478
7 35, 826
5, 118

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 5 x 118 = 49560

Least Common Multiple of 420,9912 with GCF Formula

Least Common Multiple of 420,9912 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 420,9912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,9912) = 84

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

GCF(420,9912) x common factors =84 x 1 = 84

LCM(420,9912) = ( 420 × 9912 ) / 84

LCM(420,9912) = 4163040 / 84

LCM(420,9912) = 49560


Lets's calculate GCF of 656,212

2 656, 212
2 328, 106
164, 53

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49560/4

Therefore the LCM of Fractions 420/656,9912/212 is 12390

Greatest Common Factor of 656,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,212 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 656,212 . The biggest common factor number is the GCF number.
So the greatest common factor 656,212 is 4.


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 420/656, 9912/212

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 420/656, 9912/212?

Answer: LCM of Numerators as per given numbers 420/656, 9912/212 is

LCM of Numerators i.e. for 420,9912 is 49560

GCF of denominators i.e. for 656,212 is 4.

Thus, LCM of Fractions is 12390.Finally, LCM of Fractions for 420/656, 9912/212 is 12390.