Least Common Multiple of 29/43, 75/31, 64/66, 72/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/43, 75/31, 64/66, 72/959 quickly i.e. 417600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/43, 75/31, 64/66, 72/959 is 417600.

LCM(29/43, 75/31, 64/66, 72/959) = 417600

LCM of 29/43, 75/31, 64/66, 72/959

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 29/43,75/31,64/66,72/959

Given numbers are 29/43,75/31,64/66,72/959

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 29,75,64,72

Least Common Multiple of Numerators i.e. LCM of 29,75,64,72 is 417600.

GCF of Denominators means GCF of 43,31,66,959 as per the given fractions.

GCF of 43,31,66,959 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,75,64,72

LCM of Fractions 29/43,75/31,64/66,72/959 is 417600

2 29, 75, 64, 72
2 29, 75, 32, 36
2 29, 75, 16, 18
3 29, 75, 8, 9
29, 25, 8, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 25 x 8 x 3 = 417600

Least Common Multiple of 29,75,64,72 with GCF Formula

Least Common Multiple of 29,75,64,72 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 29,75,64,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,75,64,72) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(29,75,64,72) x common factors =1 x 24 = 24

LCM(29,75,64,72) = ( 29 × 75 × 64 × 72 ) / 24

LCM(29,75,64,72) = 10022400 / 24

LCM(29,75,64,72) = 417600


Lets's calculate GCF of 43,31,66,959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 417600/1

Therefore the LCM of Fractions 29/43,75/31,64/66,72/959 is 417600

Greatest Common Factor of 43,31,66,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,31,66,959 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 43,31,66,959 . The biggest common factor number is the GCF number.
So the greatest common factor 43,31,66,959 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 29/43, 75/31, 64/66, 72/959

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 29/43, 75/31, 64/66, 72/959?

Answer: LCM of Numerators as per given numbers 29/43, 75/31, 64/66, 72/959 is

LCM of Numerators i.e. for 29,75,64,72 is 417600

GCF of denominators i.e. for 43,31,66,959 is 1.

Thus, LCM of Fractions is 417600.Finally, LCM of Fractions for 29/43, 75/31, 64/66, 72/959 is 417600.