Least Common Multiple of 87/471, 135/583, 963/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/471, 135/583, 963/982 quickly i.e. 418905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/471, 135/583, 963/982 is 418905.

LCM(87/471, 135/583, 963/982) = 418905

LCM of 87/471, 135/583, 963/982

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 87/471,135/583,963/982

Given numbers are 87/471,135/583,963/982

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 87,135,963

Least Common Multiple of Numerators i.e. LCM of 87,135,963 is 418905.

GCF of Denominators means GCF of 471,583,982 as per the given fractions.

GCF of 471,583,982 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,135,963

LCM of Fractions 87/471,135/583,963/982 is 418905

3 87, 135, 963
3 29, 45, 321
29, 15, 107

∴ So the LCM of the given numbers is 3 x 3 x 29 x 15 x 107 = 418905

Least Common Multiple of 87,135,963 with GCF Formula

Least Common Multiple of 87,135,963 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 87,135,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,135,963) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(87,135,963) x common factors =3 x 9 = 27

LCM(87,135,963) = ( 87 × 135 × 963 ) / 27

LCM(87,135,963) = 11310435 / 27

LCM(87,135,963) = 418905


Lets's calculate GCF of 471,583,982

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418905/1

Therefore the LCM of Fractions 87/471,135/583,963/982 is 418905

Greatest Common Factor of 471,583,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,583,982 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 471,583,982 . The biggest common factor number is the GCF number.
So the greatest common factor 471,583,982 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 87/471, 135/583, 963/982

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 87/471, 135/583, 963/982?

Answer: LCM of Numerators as per given numbers 87/471, 135/583, 963/982 is

LCM of Numerators i.e. for 87,135,963 is 418905

GCF of denominators i.e. for 471,583,982 is 1.

Thus, LCM of Fractions is 418905.Finally, LCM of Fractions for 87/471, 135/583, 963/982 is 418905.