Least Common Multiple of 156/746, 403/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/746, 403/729 quickly i.e. 4836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/746, 403/729 is 4836.

LCM(156/746, 403/729) = 4836

LCM of 156/746, 403/729

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 156/746,403/729

Given numbers are 156/746,403/729

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 156,403

Least Common Multiple of Numerators i.e. LCM of 156,403 is 4836.

GCF of Denominators means GCF of 746,729 as per the given fractions.

GCF of 746,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,403

LCM of Fractions 156/746,403/729 is 4836

13 156, 403
12, 31

∴ So the LCM of the given numbers is 13 x 12 x 31 = 4836

Least Common Multiple of 156,403 with GCF Formula

Least Common Multiple of 156,403 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 156,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,403) = 13

common factors(in case of two or more numbers have common factors) = 1

GCF(156,403) x common factors =13 x 1 = 13

LCM(156,403) = ( 156 × 403 ) / 13

LCM(156,403) = 62868 / 13

LCM(156,403) = 4836


Lets's calculate GCF of 746,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4836/1

Therefore the LCM of Fractions 156/746,403/729 is 4836

Greatest Common Factor of 746,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,729 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 746,729 . The biggest common factor number is the GCF number.
So the greatest common factor 746,729 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 156/746, 403/729

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 156/746, 403/729?

Answer: LCM of Numerators as per given numbers 156/746, 403/729 is

LCM of Numerators i.e. for 156,403 is 4836

GCF of denominators i.e. for 746,729 is 1.

Thus, LCM of Fractions is 4836.Finally, LCM of Fractions for 156/746, 403/729 is 4836.