Least Common Multiple of 21/622, 84/254, 963/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/622, 84/254, 963/168 quickly i.e. 13482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/622, 84/254, 963/168 is 13482.

LCM(21/622, 84/254, 963/168) = 13482

LCM of 21/622, 84/254, 963/168

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 21/622,84/254,963/168

Given numbers are 21/622,84/254,963/168

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 21,84,963

Least Common Multiple of Numerators i.e. LCM of 21,84,963 is 26964.

GCF of Denominators means GCF of 622,254,168 as per the given fractions.

GCF of 622,254,168 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,84,963

LCM of Fractions 21/622,84/254,963/168 is 13482

3 21, 84, 963
7 7, 28, 321
1, 4, 321

∴ So the LCM of the given numbers is 3 x 7 x 1 x 4 x 321 = 26964

Least Common Multiple of 21,84,963 with GCF Formula

Least Common Multiple of 21,84,963 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 21,84,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,84,963) = 3

common factors(in case of two or more numbers have common factors) = 21

GCF(21,84,963) x common factors =3 x 21 = 63

LCM(21,84,963) = ( 21 × 84 × 963 ) / 63

LCM(21,84,963) = 1698732 / 63

LCM(21,84,963) = 26964


Lets's calculate GCF of 622,254,168

2 622, 254, 168
311, 127, 84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26964/2

Therefore the LCM of Fractions 21/622,84/254,963/168 is 13482

Greatest Common Factor of 622,254,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,254,168 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 622,254,168 . The biggest common factor number is the GCF number.
So the greatest common factor 622,254,168 is 2.


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 21/622, 84/254, 963/168

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 21/622, 84/254, 963/168?

Answer: LCM of Numerators as per given numbers 21/622, 84/254, 963/168 is

LCM of Numerators i.e. for 21,84,963 is 26964

GCF of denominators i.e. for 622,254,168 is 2.

Thus, LCM of Fractions is 13482.Finally, LCM of Fractions for 21/622, 84/254, 963/168 is 13482.