Least Common Multiple of 285/26, 771/54, 816/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 285/26, 771/54, 816/862 quickly i.e. 9961320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 285/26, 771/54, 816/862 is 9961320.

LCM(285/26, 771/54, 816/862) = 9961320

LCM of 285/26, 771/54, 816/862

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 285/26,771/54,816/862

Given numbers are 285/26,771/54,816/862

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 285,771,816

Least Common Multiple of Numerators i.e. LCM of 285,771,816 is 19922640.

GCF of Denominators means GCF of 26,54,862 as per the given fractions.

GCF of 26,54,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 285,771,816

LCM of Fractions 285/26,771/54,816/862 is 9961320

3 285, 771, 816
95, 257, 272

∴ So the LCM of the given numbers is 3 x 95 x 257 x 272 = 19922640

Least Common Multiple of 285,771,816 with GCF Formula

Least Common Multiple of 285,771,816 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 285,771,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,771,816) = 3

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

GCF(285,771,816) x common factors =3 x 3 = 9

LCM(285,771,816) = ( 285 × 771 × 816 ) / 9

LCM(285,771,816) = 179303760 / 9

LCM(285,771,816) = 19922640


Lets's calculate GCF of 26,54,862

2 26, 54, 862
13, 27, 431

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19922640/2

Therefore the LCM of Fractions 285/26,771/54,816/862 is 9961320

Greatest Common Factor of 26,54,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,54,862 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 26,54,862 . The biggest common factor number is the GCF number.
So the greatest common factor 26,54,862 is 2.


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 285/26, 771/54, 816/862

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 285/26, 771/54, 816/862?

Answer: LCM of Numerators as per given numbers 285/26, 771/54, 816/862 is

LCM of Numerators i.e. for 285,771,816 is 19922640

GCF of denominators i.e. for 26,54,862 is 2.

Thus, LCM of Fractions is 9961320.Finally, LCM of Fractions for 285/26, 771/54, 816/862 is 9961320.