Least Common Multiple of 355/12, 523/71, 590/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 355/12, 523/71, 590/972 quickly i.e. 21908470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 355/12, 523/71, 590/972 is 21908470.

LCM(355/12, 523/71, 590/972) = 21908470

LCM of 355/12, 523/71, 590/972

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 355/12,523/71,590/972

Given numbers are 355/12,523/71,590/972

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 355,523,590

Least Common Multiple of Numerators i.e. LCM of 355,523,590 is 21908470.

GCF of Denominators means GCF of 12,71,972 as per the given fractions.

GCF of 12,71,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 355,523,590

LCM of Fractions 355/12,523/71,590/972 is 21908470

5 355, 523, 590
71, 523, 118

∴ So the LCM of the given numbers is 5 x 71 x 523 x 118 = 21908470

Least Common Multiple of 355,523,590 with GCF Formula

Least Common Multiple of 355,523,590 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 355,523,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,523,590) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(355,523,590) x common factors =1 x 5 = 5

LCM(355,523,590) = ( 355 × 523 × 590 ) / 5

LCM(355,523,590) = 109542350 / 5

LCM(355,523,590) = 21908470


Lets's calculate GCF of 12,71,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21908470/1

Therefore the LCM of Fractions 355/12,523/71,590/972 is 21908470

Greatest Common Factor of 12,71,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,71,972 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 12,71,972 . The biggest common factor number is the GCF number.
So the greatest common factor 12,71,972 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 355/12, 523/71, 590/972

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 355/12, 523/71, 590/972?

Answer: LCM of Numerators as per given numbers 355/12, 523/71, 590/972 is

LCM of Numerators i.e. for 355,523,590 is 21908470

GCF of denominators i.e. for 12,71,972 is 1.

Thus, LCM of Fractions is 21908470.Finally, LCM of Fractions for 355/12, 523/71, 590/972 is 21908470.