Least Common Multiple of 22/49, 12/51, 18/21, 74/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/49, 12/51, 18/21, 74/124 quickly i.e. 14652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/49, 12/51, 18/21, 74/124 is 14652.

LCM(22/49, 12/51, 18/21, 74/124) = 14652

LCM of 22/49, 12/51, 18/21, 74/124

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 22/49,12/51,18/21,74/124

Given numbers are 22/49,12/51,18/21,74/124

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 22,12,18,74

Least Common Multiple of Numerators i.e. LCM of 22,12,18,74 is 14652.

GCF of Denominators means GCF of 49,51,21,124 as per the given fractions.

GCF of 49,51,21,124 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,12,18,74

LCM of Fractions 22/49,12/51,18/21,74/124 is 14652

2 22, 12, 18, 74
3 11, 6, 9, 37
11, 2, 3, 37

∴ So the LCM of the given numbers is 2 x 3 x 11 x 2 x 3 x 37 = 14652

Least Common Multiple of 22,12,18,74 with GCF Formula

Least Common Multiple of 22,12,18,74 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 22,12,18,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,12,18,74) = 2

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

GCF(22,12,18,74) x common factors =2 x 12 = 24

LCM(22,12,18,74) = ( 22 × 12 × 18 × 74 ) / 24

LCM(22,12,18,74) = 351648 / 24

LCM(22,12,18,74) = 14652


Lets's calculate GCF of 49,51,21,124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14652/1

Therefore the LCM of Fractions 22/49,12/51,18/21,74/124 is 14652

Greatest Common Factor of 49,51,21,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,51,21,124 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 49,51,21,124 . The biggest common factor number is the GCF number.
So the greatest common factor 49,51,21,124 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 22/49, 12/51, 18/21, 74/124

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 22/49, 12/51, 18/21, 74/124?

Answer: LCM of Numerators as per given numbers 22/49, 12/51, 18/21, 74/124 is

LCM of Numerators i.e. for 22,12,18,74 is 14652

GCF of denominators i.e. for 49,51,21,124 is 1.

Thus, LCM of Fractions is 14652.Finally, LCM of Fractions for 22/49, 12/51, 18/21, 74/124 is 14652.