Least Common Multiple of 213/267, 768/984, 794/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/267, 768/984, 794/866 quickly i.e. 21647616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/267, 768/984, 794/866 is 21647616.

LCM(213/267, 768/984, 794/866) = 21647616

LCM of 213/267, 768/984, 794/866

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 213/267,768/984,794/866

Given numbers are 213/267,768/984,794/866

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 213,768,794

Least Common Multiple of Numerators i.e. LCM of 213,768,794 is 21647616.

GCF of Denominators means GCF of 267,984,866 as per the given fractions.

GCF of 267,984,866 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,768,794

LCM of Fractions 213/267,768/984,794/866 is 21647616

2 213, 768, 794
3 213, 384, 397
71, 128, 397

∴ So the LCM of the given numbers is 2 x 3 x 71 x 128 x 397 = 21647616

Least Common Multiple of 213,768,794 with GCF Formula

Least Common Multiple of 213,768,794 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 213,768,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,768,794) = 1

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

GCF(213,768,794) x common factors =1 x 6 = 6

LCM(213,768,794) = ( 213 × 768 × 794 ) / 6

LCM(213,768,794) = 129885696 / 6

LCM(213,768,794) = 21647616


Lets's calculate GCF of 267,984,866

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21647616/1

Therefore the LCM of Fractions 213/267,768/984,794/866 is 21647616

Greatest Common Factor of 267,984,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,984,866 By Matching Biggest Common Factor Method

Factors of 267

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

1,3,89,267

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 267,984,866 . The biggest common factor number is the GCF number.
So the greatest common factor 267,984,866 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 213/267, 768/984, 794/866

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 213/267, 768/984, 794/866?

Answer: LCM of Numerators as per given numbers 213/267, 768/984, 794/866 is

LCM of Numerators i.e. for 213,768,794 is 21647616

GCF of denominators i.e. for 267,984,866 is 1.

Thus, LCM of Fractions is 21647616.Finally, LCM of Fractions for 213/267, 768/984, 794/866 is 21647616.