Least Common Multiple of 96/718, 30/587, 600/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/718, 30/587, 600/699 quickly i.e. 2400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/718, 30/587, 600/699 is 2400.

LCM(96/718, 30/587, 600/699) = 2400

LCM of 96/718, 30/587, 600/699

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 96/718,30/587,600/699

Given numbers are 96/718,30/587,600/699

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 96,30,600

Least Common Multiple of Numerators i.e. LCM of 96,30,600 is 2400.

GCF of Denominators means GCF of 718,587,699 as per the given fractions.

GCF of 718,587,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,30,600

LCM of Fractions 96/718,30/587,600/699 is 2400

2 96, 30, 600
2 48, 15, 300
2 24, 15, 150
3 12, 15, 75
5 4, 5, 25
4, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 4 x 1 x 5 = 2400

Least Common Multiple of 96,30,600 with GCF Formula

Least Common Multiple of 96,30,600 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 96,30,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,30,600) = 6

common factors(in case of two or more numbers have common factors) = 120

GCF(96,30,600) x common factors =6 x 120 = 720

LCM(96,30,600) = ( 96 × 30 × 600 ) / 720

LCM(96,30,600) = 1728000 / 720

LCM(96,30,600) = 2400


Lets's calculate GCF of 718,587,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2400/1

Therefore the LCM of Fractions 96/718,30/587,600/699 is 2400

Greatest Common Factor of 718,587,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,587,699 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 718,587,699 . The biggest common factor number is the GCF number.
So the greatest common factor 718,587,699 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 96/718, 30/587, 600/699

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 96/718, 30/587, 600/699?

Answer: LCM of Numerators as per given numbers 96/718, 30/587, 600/699 is

LCM of Numerators i.e. for 96,30,600 is 2400

GCF of denominators i.e. for 718,587,699 is 1.

Thus, LCM of Fractions is 2400.Finally, LCM of Fractions for 96/718, 30/587, 600/699 is 2400.