Least Common Multiple of 23/159, 98/424, 361/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/159, 98/424, 361/971 quickly i.e. 813694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/159, 98/424, 361/971 is 813694.

LCM(23/159, 98/424, 361/971) = 813694

LCM of 23/159, 98/424, 361/971

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 23/159,98/424,361/971

Given numbers are 23/159,98/424,361/971

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 23,98,361

Least Common Multiple of Numerators i.e. LCM of 23,98,361 is 813694.

GCF of Denominators means GCF of 159,424,971 as per the given fractions.

GCF of 159,424,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,98,361

LCM of Fractions 23/159,98/424,361/971 is 813694

Given numbers has no common factors except 1. So, there LCM is their product i.e 813694

Least Common Multiple of 23,98,361 with GCF Formula

Least Common Multiple of 23,98,361 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 23,98,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,98,361) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(23,98,361) x common factors =1 x 1 = 1

LCM(23,98,361) = ( 23 × 98 × 361 ) / 1

LCM(23,98,361) = 813694 / 1

LCM(23,98,361) = 813694


Lets's calculate GCF of 159,424,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 813694/1

Therefore the LCM of Fractions 23/159,98/424,361/971 is 813694

Greatest Common Factor of 159,424,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,424,971 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 159,424,971 . The biggest common factor number is the GCF number.
So the greatest common factor 159,424,971 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/159, 98/424, 361/971

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 23/159, 98/424, 361/971?

Answer: LCM of Numerators as per given numbers 23/159, 98/424, 361/971 is

LCM of Numerators i.e. for 23,98,361 is 813694

GCF of denominators i.e. for 159,424,971 is 1.

Thus, LCM of Fractions is 813694.Finally, LCM of Fractions for 23/159, 98/424, 361/971 is 813694.