Least Common Multiple of 72/49, 46/24, 76/29, 36/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/49, 46/24, 76/29, 36/625 quickly i.e. 31464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/49, 46/24, 76/29, 36/625 is 31464.

LCM(72/49, 46/24, 76/29, 36/625) = 31464

LCM of 72/49, 46/24, 76/29, 36/625

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 72/49,46/24,76/29,36/625

Given numbers are 72/49,46/24,76/29,36/625

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 72,46,76,36

Least Common Multiple of Numerators i.e. LCM of 72,46,76,36 is 31464.

GCF of Denominators means GCF of 49,24,29,625 as per the given fractions.

GCF of 49,24,29,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,46,76,36

LCM of Fractions 72/49,46/24,76/29,36/625 is 31464

2 72, 46, 76, 36
2 36, 23, 38, 18
3 9, 23, 19, 18
3 3, 23, 19, 6
1, 23, 19, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 23 x 19 x 2 = 31464

Least Common Multiple of 72,46,76,36 with GCF Formula

Least Common Multiple of 72,46,76,36 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 72,46,76,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,46,76,36) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(72,46,76,36) x common factors =2 x 144 = 288

LCM(72,46,76,36) = ( 72 × 46 × 76 × 36 ) / 288

LCM(72,46,76,36) = 9061632 / 288

LCM(72,46,76,36) = 31464


Lets's calculate GCF of 49,24,29,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31464/1

Therefore the LCM of Fractions 72/49,46/24,76/29,36/625 is 31464

Greatest Common Factor of 49,24,29,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,24,29,625 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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 49,24,29,625 . The biggest common factor number is the GCF number.
So the greatest common factor 49,24,29,625 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 72/49, 46/24, 76/29, 36/625

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 72/49, 46/24, 76/29, 36/625?

Answer: LCM of Numerators as per given numbers 72/49, 46/24, 76/29, 36/625 is

LCM of Numerators i.e. for 72,46,76,36 is 31464

GCF of denominators i.e. for 49,24,29,625 is 1.

Thus, LCM of Fractions is 31464.Finally, LCM of Fractions for 72/49, 46/24, 76/29, 36/625 is 31464.