Least Common Multiple of 18/816, 158/364, 149/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/816, 158/364, 149/841 quickly i.e. 211878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/816, 158/364, 149/841 is 211878.

LCM(18/816, 158/364, 149/841) = 211878

LCM of 18/816, 158/364, 149/841

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 18/816,158/364,149/841

Given numbers are 18/816,158/364,149/841

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 18,158,149

Least Common Multiple of Numerators i.e. LCM of 18,158,149 is 211878.

GCF of Denominators means GCF of 816,364,841 as per the given fractions.

GCF of 816,364,841 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,158,149

LCM of Fractions 18/816,158/364,149/841 is 211878

2 18, 158, 149
9, 79, 149

∴ So the LCM of the given numbers is 2 x 9 x 79 x 149 = 211878

Least Common Multiple of 18,158,149 with GCF Formula

Least Common Multiple of 18,158,149 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 18,158,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,158,149) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(18,158,149) x common factors =1 x 2 = 2

LCM(18,158,149) = ( 18 × 158 × 149 ) / 2

LCM(18,158,149) = 423756 / 2

LCM(18,158,149) = 211878


Lets's calculate GCF of 816,364,841

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211878/1

Therefore the LCM of Fractions 18/816,158/364,149/841 is 211878

Greatest Common Factor of 816,364,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,364,841 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 816,364,841 . The biggest common factor number is the GCF number.
So the greatest common factor 816,364,841 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 18/816, 158/364, 149/841

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 18/816, 158/364, 149/841?

Answer: LCM of Numerators as per given numbers 18/816, 158/364, 149/841 is

LCM of Numerators i.e. for 18,158,149 is 211878

GCF of denominators i.e. for 816,364,841 is 1.

Thus, LCM of Fractions is 211878.Finally, LCM of Fractions for 18/816, 158/364, 149/841 is 211878.