Least Common Multiple of 83/906, 102/267, 570/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/906, 102/267, 570/708 quickly i.e. 268090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/906, 102/267, 570/708 is 268090.

LCM(83/906, 102/267, 570/708) = 268090

LCM of 83/906, 102/267, 570/708

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 83/906,102/267,570/708

Given numbers are 83/906,102/267,570/708

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 83,102,570

Least Common Multiple of Numerators i.e. LCM of 83,102,570 is 804270.

GCF of Denominators means GCF of 906,267,708 as per the given fractions.

GCF of 906,267,708 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,102,570

LCM of Fractions 83/906,102/267,570/708 is 268090

2 83, 102, 570
3 83, 51, 285
83, 17, 95

∴ So the LCM of the given numbers is 2 x 3 x 83 x 17 x 95 = 804270

Least Common Multiple of 83,102,570 with GCF Formula

Least Common Multiple of 83,102,570 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 83,102,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,102,570) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(83,102,570) x common factors =1 x 6 = 6

LCM(83,102,570) = ( 83 × 102 × 570 ) / 6

LCM(83,102,570) = 4825620 / 6

LCM(83,102,570) = 804270


Lets's calculate GCF of 906,267,708

3 906, 267, 708
302, 89, 236

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 804270/3

Therefore the LCM of Fractions 83/906,102/267,570/708 is 268090

Greatest Common Factor of 906,267,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,267,708 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 906,267,708 . The biggest common factor number is the GCF number.
So the greatest common factor 906,267,708 is 3.


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 83/906, 102/267, 570/708

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 83/906, 102/267, 570/708?

Answer: LCM of Numerators as per given numbers 83/906, 102/267, 570/708 is

LCM of Numerators i.e. for 83,102,570 is 804270

GCF of denominators i.e. for 906,267,708 is 3.

Thus, LCM of Fractions is 268090.Finally, LCM of Fractions for 83/906, 102/267, 570/708 is 268090.