Least Common Multiple of 600/705, 446/268, 667/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/705, 446/268, 667/796 quickly i.e. 89244600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/705, 446/268, 667/796 is 89244600.

LCM(600/705, 446/268, 667/796) = 89244600

LCM of 600/705, 446/268, 667/796

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 600/705,446/268,667/796

Given numbers are 600/705,446/268,667/796

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 600,446,667

Least Common Multiple of Numerators i.e. LCM of 600,446,667 is 89244600.

GCF of Denominators means GCF of 705,268,796 as per the given fractions.

GCF of 705,268,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,446,667

LCM of Fractions 600/705,446/268,667/796 is 89244600

2 600, 446, 667
300, 223, 667

∴ So the LCM of the given numbers is 2 x 300 x 223 x 667 = 89244600

Least Common Multiple of 600,446,667 with GCF Formula

Least Common Multiple of 600,446,667 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 600,446,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,446,667) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(600,446,667) x common factors =1 x 2 = 2

LCM(600,446,667) = ( 600 × 446 × 667 ) / 2

LCM(600,446,667) = 178489200 / 2

LCM(600,446,667) = 89244600


Lets's calculate GCF of 705,268,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89244600/1

Therefore the LCM of Fractions 600/705,446/268,667/796 is 89244600

Greatest Common Factor of 705,268,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,268,796 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 705,268,796 . The biggest common factor number is the GCF number.
So the greatest common factor 705,268,796 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 600/705, 446/268, 667/796

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 600/705, 446/268, 667/796?

Answer: LCM of Numerators as per given numbers 600/705, 446/268, 667/796 is

LCM of Numerators i.e. for 600,446,667 is 89244600

GCF of denominators i.e. for 705,268,796 is 1.

Thus, LCM of Fractions is 89244600.Finally, LCM of Fractions for 600/705, 446/268, 667/796 is 89244600.