Least Common Multiple of 29/58, 712/38, 544/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/58, 712/38, 544/156 quickly i.e. 702032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/58, 712/38, 544/156 is 702032.

LCM(29/58, 712/38, 544/156) = 702032

LCM of 29/58, 712/38, 544/156

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 29/58,712/38,544/156

Given numbers are 29/58,712/38,544/156

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 29,712,544

Least Common Multiple of Numerators i.e. LCM of 29,712,544 is 1404064.

GCF of Denominators means GCF of 58,38,156 as per the given fractions.

GCF of 58,38,156 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,712,544

LCM of Fractions 29/58,712/38,544/156 is 702032

2 29, 712, 544
2 29, 356, 272
2 29, 178, 136
29, 89, 68

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 89 x 68 = 1404064

Least Common Multiple of 29,712,544 with GCF Formula

Least Common Multiple of 29,712,544 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 29,712,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,712,544) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(29,712,544) x common factors =1 x 8 = 8

LCM(29,712,544) = ( 29 × 712 × 544 ) / 8

LCM(29,712,544) = 11232512 / 8

LCM(29,712,544) = 1404064


Lets's calculate GCF of 58,38,156

2 58, 38, 156
29, 19, 78

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1404064/2

Therefore the LCM of Fractions 29/58,712/38,544/156 is 702032

Greatest Common Factor of 58,38,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,38,156 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 38

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

1,2,19,38

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 58,38,156 . The biggest common factor number is the GCF number.
So the greatest common factor 58,38,156 is 2.


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 29/58, 712/38, 544/156

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 29/58, 712/38, 544/156?

Answer: LCM of Numerators as per given numbers 29/58, 712/38, 544/156 is

LCM of Numerators i.e. for 29,712,544 is 1404064

GCF of denominators i.e. for 58,38,156 is 2.

Thus, LCM of Fractions is 702032.Finally, LCM of Fractions for 29/58, 712/38, 544/156 is 702032.