Least Common Multiple of 486/94, 125/24, 864/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/94, 125/24, 864/316 quickly i.e. 486000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/94, 125/24, 864/316 is 486000.

LCM(486/94, 125/24, 864/316) = 486000

LCM of 486/94, 125/24, 864/316

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 486/94,125/24,864/316

Given numbers are 486/94,125/24,864/316

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 486,125,864

Least Common Multiple of Numerators i.e. LCM of 486,125,864 is 972000.

GCF of Denominators means GCF of 94,24,316 as per the given fractions.

GCF of 94,24,316 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,125,864

LCM of Fractions 486/94,125/24,864/316 is 486000

2 486, 125, 864
3 243, 125, 432
3 81, 125, 144
3 27, 125, 48
9, 125, 16

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 9 x 125 x 16 = 972000

Least Common Multiple of 486,125,864 with GCF Formula

Least Common Multiple of 486,125,864 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 486,125,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,125,864) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(486,125,864) x common factors =1 x 54 = 54

LCM(486,125,864) = ( 486 × 125 × 864 ) / 54

LCM(486,125,864) = 52488000 / 54

LCM(486,125,864) = 972000


Lets's calculate GCF of 94,24,316

2 94, 24, 316
47, 12, 158

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 972000/2

Therefore the LCM of Fractions 486/94,125/24,864/316 is 486000

Greatest Common Factor of 94,24,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,24,316 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

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 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 94,24,316 . The biggest common factor number is the GCF number.
So the greatest common factor 94,24,316 is 2.


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 486/94, 125/24, 864/316

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 486/94, 125/24, 864/316?

Answer: LCM of Numerators as per given numbers 486/94, 125/24, 864/316 is

LCM of Numerators i.e. for 486,125,864 is 972000

GCF of denominators i.e. for 94,24,316 is 2.

Thus, LCM of Fractions is 486000.Finally, LCM of Fractions for 486/94, 125/24, 864/316 is 486000.