Least Common Multiple of 816/858, 906/914, 865/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/858, 906/914, 865/296 quickly i.e. 53290920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/858, 906/914, 865/296 is 53290920.

LCM(816/858, 906/914, 865/296) = 53290920

LCM of 816/858, 906/914, 865/296

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 816/858,906/914,865/296

Given numbers are 816/858,906/914,865/296

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 816,906,865

Least Common Multiple of Numerators i.e. LCM of 816,906,865 is 106581840.

GCF of Denominators means GCF of 858,914,296 as per the given fractions.

GCF of 858,914,296 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,906,865

LCM of Fractions 816/858,906/914,865/296 is 53290920

2 816, 906, 865
3 408, 453, 865
136, 151, 865

∴ So the LCM of the given numbers is 2 x 3 x 136 x 151 x 865 = 106581840

Least Common Multiple of 816,906,865 with GCF Formula

Least Common Multiple of 816,906,865 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 816,906,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,906,865) = 1

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

GCF(816,906,865) x common factors =1 x 6 = 6

LCM(816,906,865) = ( 816 × 906 × 865 ) / 6

LCM(816,906,865) = 639491040 / 6

LCM(816,906,865) = 106581840


Lets's calculate GCF of 858,914,296

2 858, 914, 296
429, 457, 148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106581840/2

Therefore the LCM of Fractions 816/858,906/914,865/296 is 53290920

Greatest Common Factor of 858,914,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,914,296 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 858,914,296 . The biggest common factor number is the GCF number.
So the greatest common factor 858,914,296 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 816/858, 906/914, 865/296

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 816/858, 906/914, 865/296?

Answer: LCM of Numerators as per given numbers 816/858, 906/914, 865/296 is

LCM of Numerators i.e. for 816,906,865 is 106581840

GCF of denominators i.e. for 858,914,296 is 2.

Thus, LCM of Fractions is 53290920.Finally, LCM of Fractions for 816/858, 906/914, 865/296 is 53290920.