Least Common Multiple of 62/855, 418/471, 144/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/855, 418/471, 144/289 quickly i.e. 932976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/855, 418/471, 144/289 is 932976.

LCM(62/855, 418/471, 144/289) = 932976

LCM of 62/855, 418/471, 144/289

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 62/855,418/471,144/289

Given numbers are 62/855,418/471,144/289

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 62,418,144

Least Common Multiple of Numerators i.e. LCM of 62,418,144 is 932976.

GCF of Denominators means GCF of 855,471,289 as per the given fractions.

GCF of 855,471,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,418,144

LCM of Fractions 62/855,418/471,144/289 is 932976

2 62, 418, 144
31, 209, 72

∴ So the LCM of the given numbers is 2 x 31 x 209 x 72 = 932976

Least Common Multiple of 62,418,144 with GCF Formula

Least Common Multiple of 62,418,144 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 62,418,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,418,144) = 2

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

GCF(62,418,144) x common factors =2 x 2 = 4

LCM(62,418,144) = ( 62 × 418 × 144 ) / 4

LCM(62,418,144) = 3731904 / 4

LCM(62,418,144) = 932976


Lets's calculate GCF of 855,471,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 932976/1

Therefore the LCM of Fractions 62/855,418/471,144/289 is 932976

Greatest Common Factor of 855,471,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,471,289 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 855,471,289 . The biggest common factor number is the GCF number.
So the greatest common factor 855,471,289 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 62/855, 418/471, 144/289

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 62/855, 418/471, 144/289?

Answer: LCM of Numerators as per given numbers 62/855, 418/471, 144/289 is

LCM of Numerators i.e. for 62,418,144 is 932976

GCF of denominators i.e. for 855,471,289 is 1.

Thus, LCM of Fractions is 932976.Finally, LCM of Fractions for 62/855, 418/471, 144/289 is 932976.