Least Common Multiple of 31/523, 15/569, 921/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/523, 15/569, 921/210 quickly i.e. 142755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/523, 15/569, 921/210 is 142755.

LCM(31/523, 15/569, 921/210) = 142755

LCM of 31/523, 15/569, 921/210

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 31/523,15/569,921/210

Given numbers are 31/523,15/569,921/210

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 31,15,921

Least Common Multiple of Numerators i.e. LCM of 31,15,921 is 142755.

GCF of Denominators means GCF of 523,569,210 as per the given fractions.

GCF of 523,569,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,15,921

LCM of Fractions 31/523,15/569,921/210 is 142755

3 31, 15, 921
31, 5, 307

∴ So the LCM of the given numbers is 3 x 31 x 5 x 307 = 142755

Least Common Multiple of 31,15,921 with GCF Formula

Least Common Multiple of 31,15,921 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 31,15,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,15,921) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(31,15,921) x common factors =1 x 3 = 3

LCM(31,15,921) = ( 31 × 15 × 921 ) / 3

LCM(31,15,921) = 428265 / 3

LCM(31,15,921) = 142755


Lets's calculate GCF of 523,569,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142755/1

Therefore the LCM of Fractions 31/523,15/569,921/210 is 142755

Greatest Common Factor of 523,569,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,569,210 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 523,569,210 . The biggest common factor number is the GCF number.
So the greatest common factor 523,569,210 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 31/523, 15/569, 921/210

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 31/523, 15/569, 921/210?

Answer: LCM of Numerators as per given numbers 31/523, 15/569, 921/210 is

LCM of Numerators i.e. for 31,15,921 is 142755

GCF of denominators i.e. for 523,569,210 is 1.

Thus, LCM of Fractions is 142755.Finally, LCM of Fractions for 31/523, 15/569, 921/210 is 142755.