Least Common Multiple of 88/971, 861/144, 582/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/971, 861/144, 582/259 quickly i.e. 7349496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/971, 861/144, 582/259 is 7349496.

LCM(88/971, 861/144, 582/259) = 7349496

LCM of 88/971, 861/144, 582/259

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 88/971,861/144,582/259

Given numbers are 88/971,861/144,582/259

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 88,861,582

Least Common Multiple of Numerators i.e. LCM of 88,861,582 is 7349496.

GCF of Denominators means GCF of 971,144,259 as per the given fractions.

GCF of 971,144,259 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,861,582

LCM of Fractions 88/971,861/144,582/259 is 7349496

2 88, 861, 582
3 44, 861, 291
44, 287, 97

∴ So the LCM of the given numbers is 2 x 3 x 44 x 287 x 97 = 7349496

Least Common Multiple of 88,861,582 with GCF Formula

Least Common Multiple of 88,861,582 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 88,861,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,861,582) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(88,861,582) x common factors =1 x 6 = 6

LCM(88,861,582) = ( 88 × 861 × 582 ) / 6

LCM(88,861,582) = 44096976 / 6

LCM(88,861,582) = 7349496


Lets's calculate GCF of 971,144,259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7349496/1

Therefore the LCM of Fractions 88/971,861/144,582/259 is 7349496

Greatest Common Factor of 971,144,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,144,259 By Matching Biggest Common Factor Method

Factors of 971

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

1,971

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 971,144,259 . The biggest common factor number is the GCF number.
So the greatest common factor 971,144,259 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 88/971, 861/144, 582/259

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 88/971, 861/144, 582/259?

Answer: LCM of Numerators as per given numbers 88/971, 861/144, 582/259 is

LCM of Numerators i.e. for 88,861,582 is 7349496

GCF of denominators i.e. for 971,144,259 is 1.

Thus, LCM of Fractions is 7349496.Finally, LCM of Fractions for 88/971, 861/144, 582/259 is 7349496.