Least Common Multiple of 18/208, 511/474, 646/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/208, 511/474, 646/822 quickly i.e. 1485477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/208, 511/474, 646/822 is 1485477.

LCM(18/208, 511/474, 646/822) = 1485477

LCM of 18/208, 511/474, 646/822

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 18/208,511/474,646/822

Given numbers are 18/208,511/474,646/822

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 18,511,646

Least Common Multiple of Numerators i.e. LCM of 18,511,646 is 2970954.

GCF of Denominators means GCF of 208,474,822 as per the given fractions.

GCF of 208,474,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,511,646

LCM of Fractions 18/208,511/474,646/822 is 1485477

2 18, 511, 646
9, 511, 323

∴ So the LCM of the given numbers is 2 x 9 x 511 x 323 = 2970954

Least Common Multiple of 18,511,646 with GCF Formula

Least Common Multiple of 18,511,646 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 18,511,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,511,646) = 1

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

GCF(18,511,646) x common factors =1 x 2 = 2

LCM(18,511,646) = ( 18 × 511 × 646 ) / 2

LCM(18,511,646) = 5941908 / 2

LCM(18,511,646) = 2970954


Lets's calculate GCF of 208,474,822

2 208, 474, 822
104, 237, 411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2970954/2

Therefore the LCM of Fractions 18/208,511/474,646/822 is 1485477

Greatest Common Factor of 208,474,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,474,822 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 208,474,822 . The biggest common factor number is the GCF number.
So the greatest common factor 208,474,822 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 18/208, 511/474, 646/822

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 18/208, 511/474, 646/822?

Answer: LCM of Numerators as per given numbers 18/208, 511/474, 646/822 is

LCM of Numerators i.e. for 18,511,646 is 2970954

GCF of denominators i.e. for 208,474,822 is 2.

Thus, LCM of Fractions is 1485477.Finally, LCM of Fractions for 18/208, 511/474, 646/822 is 1485477.