Least Common Multiple of 63/228, 64/687, 849/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/228, 64/687, 849/842 quickly i.e. 1141056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/228, 64/687, 849/842 is 1141056.

LCM(63/228, 64/687, 849/842) = 1141056

LCM of 63/228, 64/687, 849/842

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 63/228,64/687,849/842

Given numbers are 63/228,64/687,849/842

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 63,64,849

Least Common Multiple of Numerators i.e. LCM of 63,64,849 is 1141056.

GCF of Denominators means GCF of 228,687,842 as per the given fractions.

GCF of 228,687,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,64,849

LCM of Fractions 63/228,64/687,849/842 is 1141056

3 63, 64, 849
21, 64, 283

∴ So the LCM of the given numbers is 3 x 21 x 64 x 283 = 1141056

Least Common Multiple of 63,64,849 with GCF Formula

Least Common Multiple of 63,64,849 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 63,64,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,64,849) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(63,64,849) x common factors =1 x 3 = 3

LCM(63,64,849) = ( 63 × 64 × 849 ) / 3

LCM(63,64,849) = 3423168 / 3

LCM(63,64,849) = 1141056


Lets's calculate GCF of 228,687,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1141056/1

Therefore the LCM of Fractions 63/228,64/687,849/842 is 1141056

Greatest Common Factor of 228,687,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,687,842 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 228,687,842 . The biggest common factor number is the GCF number.
So the greatest common factor 228,687,842 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 63/228, 64/687, 849/842

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 63/228, 64/687, 849/842?

Answer: LCM of Numerators as per given numbers 63/228, 64/687, 849/842 is

LCM of Numerators i.e. for 63,64,849 is 1141056

GCF of denominators i.e. for 228,687,842 is 1.

Thus, LCM of Fractions is 1141056.Finally, LCM of Fractions for 63/228, 64/687, 849/842 is 1141056.