Least Common Multiple of 861/26, 183/71, 877/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 861/26, 183/71, 877/463 quickly i.e. 46060917 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/26, 183/71, 877/463 is 46060917.

LCM(861/26, 183/71, 877/463) = 46060917

LCM of 861/26, 183/71, 877/463

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 861/26,183/71,877/463

Given numbers are 861/26,183/71,877/463

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 861,183,877

Least Common Multiple of Numerators i.e. LCM of 861,183,877 is 46060917.

GCF of Denominators means GCF of 26,71,463 as per the given fractions.

GCF of 26,71,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,183,877

LCM of Fractions 861/26,183/71,877/463 is 46060917

3 861, 183, 877
287, 61, 877

∴ So the LCM of the given numbers is 3 x 287 x 61 x 877 = 46060917

Least Common Multiple of 861,183,877 with GCF Formula

Least Common Multiple of 861,183,877 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 861,183,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,183,877) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(861,183,877) x common factors =1 x 3 = 3

LCM(861,183,877) = ( 861 × 183 × 877 ) / 3

LCM(861,183,877) = 138182751 / 3

LCM(861,183,877) = 46060917


Lets's calculate GCF of 26,71,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46060917/1

Therefore the LCM of Fractions 861/26,183/71,877/463 is 46060917

Greatest Common Factor of 26,71,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,71,463 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 26,71,463 . The biggest common factor number is the GCF number.
So the greatest common factor 26,71,463 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 861/26, 183/71, 877/463

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 861/26, 183/71, 877/463?

Answer: LCM of Numerators as per given numbers 861/26, 183/71, 877/463 is

LCM of Numerators i.e. for 861,183,877 is 46060917

GCF of denominators i.e. for 26,71,463 is 1.

Thus, LCM of Fractions is 46060917.Finally, LCM of Fractions for 861/26, 183/71, 877/463 is 46060917.