Least Common Multiple of 21/56, 74/44, 420/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/56, 74/44, 420/196 quickly i.e. 3885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/56, 74/44, 420/196 is 3885.

LCM(21/56, 74/44, 420/196) = 3885

LCM of 21/56, 74/44, 420/196

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 21/56,74/44,420/196

Given numbers are 21/56,74/44,420/196

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 21,74,420

Least Common Multiple of Numerators i.e. LCM of 21,74,420 is 15540.

GCF of Denominators means GCF of 56,44,196 as per the given fractions.

GCF of 56,44,196 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,74,420

LCM of Fractions 21/56,74/44,420/196 is 3885

2 21, 74, 420
3 21, 37, 210
7 7, 37, 70
1, 37, 10

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 37 x 10 = 15540

Least Common Multiple of 21,74,420 with GCF Formula

Least Common Multiple of 21,74,420 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 21,74,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,74,420) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(21,74,420) x common factors =1 x 42 = 42

LCM(21,74,420) = ( 21 × 74 × 420 ) / 42

LCM(21,74,420) = 652680 / 42

LCM(21,74,420) = 15540


Lets's calculate GCF of 56,44,196

2 56, 44, 196
2 28, 22, 98
14, 11, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15540/4

Therefore the LCM of Fractions 21/56,74/44,420/196 is 3885

Greatest Common Factor of 56,44,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,44,196 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 56,44,196 . The biggest common factor number is the GCF number.
So the greatest common factor 56,44,196 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 21/56, 74/44, 420/196

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 21/56, 74/44, 420/196?

Answer: LCM of Numerators as per given numbers 21/56, 74/44, 420/196 is

LCM of Numerators i.e. for 21,74,420 is 15540

GCF of denominators i.e. for 56,44,196 is 4.

Thus, LCM of Fractions is 3885.Finally, LCM of Fractions for 21/56, 74/44, 420/196 is 3885.