Least Common Multiple of 94/406, 96/831, 987/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/406, 96/831, 987/534 quickly i.e. 31584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/406, 96/831, 987/534 is 31584.

LCM(94/406, 96/831, 987/534) = 31584

LCM of 94/406, 96/831, 987/534

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 94/406,96/831,987/534

Given numbers are 94/406,96/831,987/534

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 94,96,987

Least Common Multiple of Numerators i.e. LCM of 94,96,987 is 31584.

GCF of Denominators means GCF of 406,831,534 as per the given fractions.

GCF of 406,831,534 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,96,987

LCM of Fractions 94/406,96/831,987/534 is 31584

2 94, 96, 987
3 47, 48, 987
47 47, 16, 329
1, 16, 7

∴ So the LCM of the given numbers is 2 x 3 x 47 x 1 x 16 x 7 = 31584

Least Common Multiple of 94,96,987 with GCF Formula

Least Common Multiple of 94,96,987 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 94,96,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,96,987) = 1

common factors(in case of two or more numbers have common factors) = 282

GCF(94,96,987) x common factors =1 x 282 = 282

LCM(94,96,987) = ( 94 × 96 × 987 ) / 282

LCM(94,96,987) = 8906688 / 282

LCM(94,96,987) = 31584


Lets's calculate GCF of 406,831,534

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31584/1

Therefore the LCM of Fractions 94/406,96/831,987/534 is 31584

Greatest Common Factor of 406,831,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,831,534 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 406,831,534 . The biggest common factor number is the GCF number.
So the greatest common factor 406,831,534 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 94/406, 96/831, 987/534

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 94/406, 96/831, 987/534?

Answer: LCM of Numerators as per given numbers 94/406, 96/831, 987/534 is

LCM of Numerators i.e. for 94,96,987 is 31584

GCF of denominators i.e. for 406,831,534 is 1.

Thus, LCM of Fractions is 31584.Finally, LCM of Fractions for 94/406, 96/831, 987/534 is 31584.