Least Common Multiple of 20/354, 81/739, 596/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/354, 81/739, 596/745 quickly i.e. 241380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/354, 81/739, 596/745 is 241380.

LCM(20/354, 81/739, 596/745) = 241380

LCM of 20/354, 81/739, 596/745

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 20/354,81/739,596/745

Given numbers are 20/354,81/739,596/745

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 20,81,596

Least Common Multiple of Numerators i.e. LCM of 20,81,596 is 241380.

GCF of Denominators means GCF of 354,739,745 as per the given fractions.

GCF of 354,739,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,81,596

LCM of Fractions 20/354,81/739,596/745 is 241380

2 20, 81, 596
2 10, 81, 298
5, 81, 149

∴ So the LCM of the given numbers is 2 x 2 x 5 x 81 x 149 = 241380

Least Common Multiple of 20,81,596 with GCF Formula

Least Common Multiple of 20,81,596 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 20,81,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,81,596) = 1

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

GCF(20,81,596) x common factors =1 x 4 = 4

LCM(20,81,596) = ( 20 × 81 × 596 ) / 4

LCM(20,81,596) = 965520 / 4

LCM(20,81,596) = 241380


Lets's calculate GCF of 354,739,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241380/1

Therefore the LCM of Fractions 20/354,81/739,596/745 is 241380

Greatest Common Factor of 354,739,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,739,745 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 354,739,745 . The biggest common factor number is the GCF number.
So the greatest common factor 354,739,745 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 20/354, 81/739, 596/745

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 20/354, 81/739, 596/745?

Answer: LCM of Numerators as per given numbers 20/354, 81/739, 596/745 is

LCM of Numerators i.e. for 20,81,596 is 241380

GCF of denominators i.e. for 354,739,745 is 1.

Thus, LCM of Fractions is 241380.Finally, LCM of Fractions for 20/354, 81/739, 596/745 is 241380.