Least Common Multiple of 78/63, 77/246, 403/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/63, 77/246, 403/567 quickly i.e. 62062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/63, 77/246, 403/567 is 62062.

LCM(78/63, 77/246, 403/567) = 62062

LCM of 78/63, 77/246, 403/567

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 78/63,77/246,403/567

Given numbers are 78/63,77/246,403/567

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 78,77,403

Least Common Multiple of Numerators i.e. LCM of 78,77,403 is 186186.

GCF of Denominators means GCF of 63,246,567 as per the given fractions.

GCF of 63,246,567 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,77,403

LCM of Fractions 78/63,77/246,403/567 is 62062

13 78, 77, 403
6, 77, 31

∴ So the LCM of the given numbers is 13 x 6 x 77 x 31 = 186186

Least Common Multiple of 78,77,403 with GCF Formula

Least Common Multiple of 78,77,403 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 78,77,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,77,403) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(78,77,403) x common factors =1 x 13 = 13

LCM(78,77,403) = ( 78 × 77 × 403 ) / 13

LCM(78,77,403) = 2420418 / 13

LCM(78,77,403) = 186186


Lets's calculate GCF of 63,246,567

3 63, 246, 567
21, 82, 189

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186186/3

Therefore the LCM of Fractions 78/63,77/246,403/567 is 62062

Greatest Common Factor of 63,246,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,246,567 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 63,246,567 . The biggest common factor number is the GCF number.
So the greatest common factor 63,246,567 is 3.


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 78/63, 77/246, 403/567

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 78/63, 77/246, 403/567?

Answer: LCM of Numerators as per given numbers 78/63, 77/246, 403/567 is

LCM of Numerators i.e. for 78,77,403 is 186186

GCF of denominators i.e. for 63,246,567 is 3.

Thus, LCM of Fractions is 62062.Finally, LCM of Fractions for 78/63, 77/246, 403/567 is 62062.