Least Common Multiple of 23/821, 153/508, 291/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/821, 153/508, 291/842 quickly i.e. 341343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/821, 153/508, 291/842 is 341343.

LCM(23/821, 153/508, 291/842) = 341343

LCM of 23/821, 153/508, 291/842

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 23/821,153/508,291/842

Given numbers are 23/821,153/508,291/842

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 23,153,291

Least Common Multiple of Numerators i.e. LCM of 23,153,291 is 341343.

GCF of Denominators means GCF of 821,508,842 as per the given fractions.

GCF of 821,508,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,153,291

LCM of Fractions 23/821,153/508,291/842 is 341343

3 23, 153, 291
23, 51, 97

∴ So the LCM of the given numbers is 3 x 23 x 51 x 97 = 341343

Least Common Multiple of 23,153,291 with GCF Formula

Least Common Multiple of 23,153,291 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 23,153,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,153,291) = 1

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

GCF(23,153,291) x common factors =1 x 3 = 3

LCM(23,153,291) = ( 23 × 153 × 291 ) / 3

LCM(23,153,291) = 1024029 / 3

LCM(23,153,291) = 341343


Lets's calculate GCF of 821,508,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341343/1

Therefore the LCM of Fractions 23/821,153/508,291/842 is 341343

Greatest Common Factor of 821,508,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,508,842 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 821,508,842 . The biggest common factor number is the GCF number.
So the greatest common factor 821,508,842 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 23/821, 153/508, 291/842

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 23/821, 153/508, 291/842?

Answer: LCM of Numerators as per given numbers 23/821, 153/508, 291/842 is

LCM of Numerators i.e. for 23,153,291 is 341343

GCF of denominators i.e. for 821,508,842 is 1.

Thus, LCM of Fractions is 341343.Finally, LCM of Fractions for 23/821, 153/508, 291/842 is 341343.