Least Common Multiple of 42/729, 2428/9020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/729, 2428/9020 quickly i.e. 50988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/729, 2428/9020 is 50988.

LCM(42/729, 2428/9020) = 50988

LCM of 42/729, 2428/9020

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 42/729,2428/9020

Given numbers are 42/729,2428/9020

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 42,2428

Least Common Multiple of Numerators i.e. LCM of 42,2428 is 50988.

GCF of Denominators means GCF of 729,9020 as per the given fractions.

GCF of 729,9020 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,2428

LCM of Fractions 42/729,2428/9020 is 50988

2 42, 2428
21, 1214

∴ So the LCM of the given numbers is 2 x 21 x 1214 = 50988

Least Common Multiple of 42,2428 with GCF Formula

Least Common Multiple of 42,2428 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 42,2428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,2428) = 2

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

GCF(42,2428) x common factors =2 x 1 = 2

LCM(42,2428) = ( 42 × 2428 ) / 2

LCM(42,2428) = 101976 / 2

LCM(42,2428) = 50988


Lets's calculate GCF of 729,9020

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50988/1

Therefore the LCM of Fractions 42/729,2428/9020 is 50988

Greatest Common Factor of 729,9020 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,9020 By Matching Biggest Common Factor Method

Factors of 729

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

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

Factors of 9020

List of positive integer factors of 9020 that divides 9020 without a remainder.

1,2,4,5,10,11,20,22,41,44,55,82,110,164,205,220,410,451,820,902,1804,2255,4510,9020

Greatest Common Factor

We found the factors 729,9020 . The biggest common factor number is the GCF number.
So the greatest common factor 729,9020 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 42/729, 2428/9020

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 42/729, 2428/9020?

Answer: LCM of Numerators as per given numbers 42/729, 2428/9020 is

LCM of Numerators i.e. for 42,2428 is 50988

GCF of denominators i.e. for 729,9020 is 1.

Thus, LCM of Fractions is 50988.Finally, LCM of Fractions for 42/729, 2428/9020 is 50988.