Least Common Multiple of 20/114, 51/729, 496/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/114, 51/729, 496/578 quickly i.e. 126480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/114, 51/729, 496/578 is 126480.

LCM(20/114, 51/729, 496/578) = 126480

LCM of 20/114, 51/729, 496/578

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 20/114,51/729,496/578

Given numbers are 20/114,51/729,496/578

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 20,51,496

Least Common Multiple of Numerators i.e. LCM of 20,51,496 is 126480.

GCF of Denominators means GCF of 114,729,578 as per the given fractions.

GCF of 114,729,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,51,496

LCM of Fractions 20/114,51/729,496/578 is 126480

2 20, 51, 496
2 10, 51, 248
5, 51, 124

∴ So the LCM of the given numbers is 2 x 2 x 5 x 51 x 124 = 126480

Least Common Multiple of 20,51,496 with GCF Formula

Least Common Multiple of 20,51,496 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 20,51,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,51,496) = 1

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

GCF(20,51,496) x common factors =1 x 4 = 4

LCM(20,51,496) = ( 20 × 51 × 496 ) / 4

LCM(20,51,496) = 505920 / 4

LCM(20,51,496) = 126480


Lets's calculate GCF of 114,729,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126480/1

Therefore the LCM of Fractions 20/114,51/729,496/578 is 126480

Greatest Common Factor of 114,729,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,729,578 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

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 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 114,729,578 . The biggest common factor number is the GCF number.
So the greatest common factor 114,729,578 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 20/114, 51/729, 496/578

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 20/114, 51/729, 496/578?

Answer: LCM of Numerators as per given numbers 20/114, 51/729, 496/578 is

LCM of Numerators i.e. for 20,51,496 is 126480

GCF of denominators i.e. for 114,729,578 is 1.

Thus, LCM of Fractions is 126480.Finally, LCM of Fractions for 20/114, 51/729, 496/578 is 126480.