Least Common Multiple of 56/849, 52/738, 978/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/849, 52/738, 978/729 quickly i.e. 118664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/849, 52/738, 978/729 is 118664.

LCM(56/849, 52/738, 978/729) = 118664

LCM of 56/849, 52/738, 978/729

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 56/849,52/738,978/729

Given numbers are 56/849,52/738,978/729

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 56,52,978

Least Common Multiple of Numerators i.e. LCM of 56,52,978 is 355992.

GCF of Denominators means GCF of 849,738,729 as per the given fractions.

GCF of 849,738,729 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,52,978

LCM of Fractions 56/849,52/738,978/729 is 118664

2 56, 52, 978
2 28, 26, 489
14, 13, 489

∴ So the LCM of the given numbers is 2 x 2 x 14 x 13 x 489 = 355992

Least Common Multiple of 56,52,978 with GCF Formula

Least Common Multiple of 56,52,978 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 56,52,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,52,978) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(56,52,978) x common factors =2 x 4 = 8

LCM(56,52,978) = ( 56 × 52 × 978 ) / 8

LCM(56,52,978) = 2847936 / 8

LCM(56,52,978) = 355992


Lets's calculate GCF of 849,738,729

3 849, 738, 729
283, 246, 243

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355992/3

Therefore the LCM of Fractions 56/849,52/738,978/729 is 118664

Greatest Common Factor of 849,738,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,738,729 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

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 849,738,729 . The biggest common factor number is the GCF number.
So the greatest common factor 849,738,729 is 3.


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 56/849, 52/738, 978/729

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 56/849, 52/738, 978/729?

Answer: LCM of Numerators as per given numbers 56/849, 52/738, 978/729 is

LCM of Numerators i.e. for 56,52,978 is 355992

GCF of denominators i.e. for 849,738,729 is 3.

Thus, LCM of Fractions is 118664.Finally, LCM of Fractions for 56/849, 52/738, 978/729 is 118664.