Least Common Multiple of 861/543, 9771/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 861/543, 9771/834 quickly i.e. 934759 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/543, 9771/834 is 934759.

LCM(861/543, 9771/834) = 934759

LCM of 861/543, 9771/834

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 861/543,9771/834

Given numbers are 861/543,9771/834

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 861,9771

Least Common Multiple of Numerators i.e. LCM of 861,9771 is 2804277.

GCF of Denominators means GCF of 543,834 as per the given fractions.

GCF of 543,834 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,9771

LCM of Fractions 861/543,9771/834 is 934759

3 861, 9771
287, 3257

∴ So the LCM of the given numbers is 3 x 287 x 3257 = 2804277

Least Common Multiple of 861,9771 with GCF Formula

Least Common Multiple of 861,9771 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 861,9771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,9771) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(861,9771) x common factors =3 x 1 = 3

LCM(861,9771) = ( 861 × 9771 ) / 3

LCM(861,9771) = 8412831 / 3

LCM(861,9771) = 2804277


Lets's calculate GCF of 543,834

3 543, 834
181, 278

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2804277/3

Therefore the LCM of Fractions 861/543,9771/834 is 934759

Greatest Common Factor of 543,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,834 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 543,834 . The biggest common factor number is the GCF number.
So the greatest common factor 543,834 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 861/543, 9771/834

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 861/543, 9771/834?

Answer: LCM of Numerators as per given numbers 861/543, 9771/834 is

LCM of Numerators i.e. for 861,9771 is 2804277

GCF of denominators i.e. for 543,834 is 3.

Thus, LCM of Fractions is 934759.Finally, LCM of Fractions for 861/543, 9771/834 is 934759.