Least Common Multiple of 31/29, 72/29, 735/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/29, 72/29, 735/464 quickly i.e. 546840/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/29, 72/29, 735/464 is 546840/29.

LCM(31/29, 72/29, 735/464) = 546840/29

LCM of 31/29, 72/29, 735/464

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 31/29,72/29,735/464

Given numbers are 31/29,72/29,735/464

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 31,72,735

Least Common Multiple of Numerators i.e. LCM of 31,72,735 is 546840.

GCF of Denominators means GCF of 29,29,464 as per the given fractions.

GCF of 29,29,464 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,72,735

LCM of Fractions 31/29,72/29,735/464 is 546840/29

3 31, 72, 735
31, 24, 245

∴ So the LCM of the given numbers is 3 x 31 x 24 x 245 = 546840

Least Common Multiple of 31,72,735 with GCF Formula

Least Common Multiple of 31,72,735 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 31,72,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,72,735) = 1

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

GCF(31,72,735) x common factors =1 x 3 = 3

LCM(31,72,735) = ( 31 × 72 × 735 ) / 3

LCM(31,72,735) = 1640520 / 3

LCM(31,72,735) = 546840


Lets's calculate GCF of 29,29,464

29 29, 29, 464
1, 1, 16

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546840/29

Therefore the LCM of Fractions 31/29,72/29,735/464 is 546840/29

Greatest Common Factor of 29,29,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,29,464 By Matching Biggest Common Factor Method

Factors of 29

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

1,29

Factors of 29

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

1,29

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 29,29,464 . The biggest common factor number is the GCF number.
So the greatest common factor 29,29,464 is 29.


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 31/29, 72/29, 735/464

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 31/29, 72/29, 735/464?

Answer: LCM of Numerators as per given numbers 31/29, 72/29, 735/464 is

LCM of Numerators i.e. for 31,72,735 is 546840

GCF of denominators i.e. for 29,29,464 is 29.

Thus, LCM of Fractions is 546840/29.Finally, LCM of Fractions for 31/29, 72/29, 735/464 is 546840/29.