Least Common Multiple of 971/24, 517/17, 724/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/24, 517/17, 724/279 quickly i.e. 363453068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/24, 517/17, 724/279 is 363453068.

LCM(971/24, 517/17, 724/279) = 363453068

LCM of 971/24, 517/17, 724/279

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 971/24,517/17,724/279

Given numbers are 971/24,517/17,724/279

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 971,517,724

Least Common Multiple of Numerators i.e. LCM of 971,517,724 is 363453068.

GCF of Denominators means GCF of 24,17,279 as per the given fractions.

GCF of 24,17,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,517,724

LCM of Fractions 971/24,517/17,724/279 is 363453068

Given numbers has no common factors except 1. So, there LCM is their product i.e 363453068

Least Common Multiple of 971,517,724 with GCF Formula

Least Common Multiple of 971,517,724 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 971,517,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,517,724) = 1

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

GCF(971,517,724) x common factors =1 x 1 = 1

LCM(971,517,724) = ( 971 × 517 × 724 ) / 1

LCM(971,517,724) = 363453068 / 1

LCM(971,517,724) = 363453068


Lets's calculate GCF of 24,17,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363453068/1

Therefore the LCM of Fractions 971/24,517/17,724/279 is 363453068

Greatest Common Factor of 24,17,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,17,279 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 24,17,279 . The biggest common factor number is the GCF number.
So the greatest common factor 24,17,279 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 971/24, 517/17, 724/279

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 971/24, 517/17, 724/279?

Answer: LCM of Numerators as per given numbers 971/24, 517/17, 724/279 is

LCM of Numerators i.e. for 971,517,724 is 363453068

GCF of denominators i.e. for 24,17,279 is 1.

Thus, LCM of Fractions is 363453068.Finally, LCM of Fractions for 971/24, 517/17, 724/279 is 363453068.