Least Common Multiple of 261/861, 684/749, 847/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 261/861, 684/749, 847/398 quickly i.e. 16801092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 261/861, 684/749, 847/398 is 16801092.

LCM(261/861, 684/749, 847/398) = 16801092

LCM of 261/861, 684/749, 847/398

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 261/861,684/749,847/398

Given numbers are 261/861,684/749,847/398

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 261,684,847

Least Common Multiple of Numerators i.e. LCM of 261,684,847 is 16801092.

GCF of Denominators means GCF of 861,749,398 as per the given fractions.

GCF of 861,749,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 261,684,847

LCM of Fractions 261/861,684/749,847/398 is 16801092

3 261, 684, 847
3 87, 228, 847
29, 76, 847

∴ So the LCM of the given numbers is 3 x 3 x 29 x 76 x 847 = 16801092

Least Common Multiple of 261,684,847 with GCF Formula

Least Common Multiple of 261,684,847 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 261,684,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,684,847) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(261,684,847) x common factors =1 x 9 = 9

LCM(261,684,847) = ( 261 × 684 × 847 ) / 9

LCM(261,684,847) = 151209828 / 9

LCM(261,684,847) = 16801092


Lets's calculate GCF of 861,749,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16801092/1

Therefore the LCM of Fractions 261/861,684/749,847/398 is 16801092

Greatest Common Factor of 861,749,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,749,398 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 861,749,398 . The biggest common factor number is the GCF number.
So the greatest common factor 861,749,398 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 261/861, 684/749, 847/398

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 261/861, 684/749, 847/398?

Answer: LCM of Numerators as per given numbers 261/861, 684/749, 847/398 is

LCM of Numerators i.e. for 261,684,847 is 16801092

GCF of denominators i.e. for 861,749,398 is 1.

Thus, LCM of Fractions is 16801092.Finally, LCM of Fractions for 261/861, 684/749, 847/398 is 16801092.