Least Common Multiple of 21/74, 40/268, 138/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/74, 40/268, 138/549 quickly i.e. 19320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/74, 40/268, 138/549 is 19320.

LCM(21/74, 40/268, 138/549) = 19320

LCM of 21/74, 40/268, 138/549

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 21/74,40/268,138/549

Given numbers are 21/74,40/268,138/549

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 21,40,138

Least Common Multiple of Numerators i.e. LCM of 21,40,138 is 19320.

GCF of Denominators means GCF of 74,268,549 as per the given fractions.

GCF of 74,268,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,40,138

LCM of Fractions 21/74,40/268,138/549 is 19320

2 21, 40, 138
3 21, 20, 69
7, 20, 23

∴ So the LCM of the given numbers is 2 x 3 x 7 x 20 x 23 = 19320

Least Common Multiple of 21,40,138 with GCF Formula

Least Common Multiple of 21,40,138 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 21,40,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,40,138) = 1

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

GCF(21,40,138) x common factors =1 x 6 = 6

LCM(21,40,138) = ( 21 × 40 × 138 ) / 6

LCM(21,40,138) = 115920 / 6

LCM(21,40,138) = 19320


Lets's calculate GCF of 74,268,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19320/1

Therefore the LCM of Fractions 21/74,40/268,138/549 is 19320

Greatest Common Factor of 74,268,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,268,549 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 74,268,549 . The biggest common factor number is the GCF number.
So the greatest common factor 74,268,549 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 21/74, 40/268, 138/549

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 21/74, 40/268, 138/549?

Answer: LCM of Numerators as per given numbers 21/74, 40/268, 138/549 is

LCM of Numerators i.e. for 21,40,138 is 19320

GCF of denominators i.e. for 74,268,549 is 1.

Thus, LCM of Fractions is 19320.Finally, LCM of Fractions for 21/74, 40/268, 138/549 is 19320.