Least Common Multiple of 29/38, 23/64, 54/47, 21/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/38, 23/64, 54/47, 21/42 quickly i.e. 252126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/38, 23/64, 54/47, 21/42 is 252126.

LCM(29/38, 23/64, 54/47, 21/42) = 252126

LCM of 29/38, 23/64, 54/47, 21/42

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 29/38,23/64,54/47,21/42

Given numbers are 29/38,23/64,54/47,21/42

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 29,23,54,21

Least Common Multiple of Numerators i.e. LCM of 29,23,54,21 is 252126.

GCF of Denominators means GCF of 38,64,47,42 as per the given fractions.

GCF of 38,64,47,42 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,23,54,21

LCM of Fractions 29/38,23/64,54/47,21/42 is 252126

3 29, 23, 54, 21
29, 23, 18, 7

∴ So the LCM of the given numbers is 3 x 29 x 23 x 18 x 7 = 252126

Least Common Multiple of 29,23,54,21 with GCF Formula

Least Common Multiple of 29,23,54,21 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 29,23,54,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,23,54,21) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(29,23,54,21) x common factors =1 x 3 = 3

LCM(29,23,54,21) = ( 29 × 23 × 54 × 21 ) / 3

LCM(29,23,54,21) = 756378 / 3

LCM(29,23,54,21) = 252126


Lets's calculate GCF of 38,64,47,42

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252126/1

Therefore the LCM of Fractions 29/38,23/64,54/47,21/42 is 252126

Greatest Common Factor of 38,64,47,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,64,47,42 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 38,64,47,42 . The biggest common factor number is the GCF number.
So the greatest common factor 38,64,47,42 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 29/38, 23/64, 54/47, 21/42

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 29/38, 23/64, 54/47, 21/42?

Answer: LCM of Numerators as per given numbers 29/38, 23/64, 54/47, 21/42 is

LCM of Numerators i.e. for 29,23,54,21 is 252126

GCF of denominators i.e. for 38,64,47,42 is 1.

Thus, LCM of Fractions is 252126.Finally, LCM of Fractions for 29/38, 23/64, 54/47, 21/42 is 252126.