Least Common Multiple of 84/20, 38/52, 222/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/20, 38/52, 222/420 quickly i.e. 14763 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/20, 38/52, 222/420 is 14763.

LCM(84/20, 38/52, 222/420) = 14763

LCM of 84/20, 38/52, 222/420

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 84/20,38/52,222/420

Given numbers are 84/20,38/52,222/420

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 84,38,222

Least Common Multiple of Numerators i.e. LCM of 84,38,222 is 59052.

GCF of Denominators means GCF of 20,52,420 as per the given fractions.

GCF of 20,52,420 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,38,222

LCM of Fractions 84/20,38/52,222/420 is 14763

2 84, 38, 222
3 42, 19, 111
14, 19, 37

∴ So the LCM of the given numbers is 2 x 3 x 14 x 19 x 37 = 59052

Least Common Multiple of 84,38,222 with GCF Formula

Least Common Multiple of 84,38,222 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 84,38,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,38,222) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(84,38,222) x common factors =2 x 6 = 12

LCM(84,38,222) = ( 84 × 38 × 222 ) / 12

LCM(84,38,222) = 708624 / 12

LCM(84,38,222) = 59052


Lets's calculate GCF of 20,52,420

2 20, 52, 420
2 10, 26, 210
5, 13, 105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59052/4

Therefore the LCM of Fractions 84/20,38/52,222/420 is 14763

Greatest Common Factor of 20,52,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,52,420 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 20,52,420 . The biggest common factor number is the GCF number.
So the greatest common factor 20,52,420 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 84/20, 38/52, 222/420

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 84/20, 38/52, 222/420?

Answer: LCM of Numerators as per given numbers 84/20, 38/52, 222/420 is

LCM of Numerators i.e. for 84,38,222 is 59052

GCF of denominators i.e. for 20,52,420 is 4.

Thus, LCM of Fractions is 14763.Finally, LCM of Fractions for 84/20, 38/52, 222/420 is 14763.