Least Common Multiple of 808/156, 816/119, 362/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 808/156, 816/119, 362/215 quickly i.e. 14917296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 808/156, 816/119, 362/215 is 14917296.

LCM(808/156, 816/119, 362/215) = 14917296

LCM of 808/156, 816/119, 362/215

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 808/156,816/119,362/215

Given numbers are 808/156,816/119,362/215

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 808,816,362

Least Common Multiple of Numerators i.e. LCM of 808,816,362 is 14917296.

GCF of Denominators means GCF of 156,119,215 as per the given fractions.

GCF of 156,119,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 808,816,362

LCM of Fractions 808/156,816/119,362/215 is 14917296

2 808, 816, 362
2 404, 408, 181
2 202, 204, 181
101, 102, 181

∴ So the LCM of the given numbers is 2 x 2 x 2 x 101 x 102 x 181 = 14917296

Least Common Multiple of 808,816,362 with GCF Formula

Least Common Multiple of 808,816,362 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 808,816,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,816,362) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(808,816,362) x common factors =2 x 8 = 16

LCM(808,816,362) = ( 808 × 816 × 362 ) / 16

LCM(808,816,362) = 238676736 / 16

LCM(808,816,362) = 14917296


Lets's calculate GCF of 156,119,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14917296/1

Therefore the LCM of Fractions 808/156,816/119,362/215 is 14917296

Greatest Common Factor of 156,119,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,119,215 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 156,119,215 . The biggest common factor number is the GCF number.
So the greatest common factor 156,119,215 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 808/156, 816/119, 362/215

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 808/156, 816/119, 362/215?

Answer: LCM of Numerators as per given numbers 808/156, 816/119, 362/215 is

LCM of Numerators i.e. for 808,816,362 is 14917296

GCF of denominators i.e. for 156,119,215 is 1.

Thus, LCM of Fractions is 14917296.Finally, LCM of Fractions for 808/156, 816/119, 362/215 is 14917296.