Least Common Multiple of 67/78, 63/13, 18/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/78, 63/13, 18/312 quickly i.e. 8442/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/78, 63/13, 18/312 is 8442/13.

LCM(67/78, 63/13, 18/312) = 8442/13

LCM of 67/78, 63/13, 18/312

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 67/78,63/13,18/312

Given numbers are 67/78,63/13,18/312

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 67,63,18

Least Common Multiple of Numerators i.e. LCM of 67,63,18 is 8442.

GCF of Denominators means GCF of 78,13,312 as per the given fractions.

GCF of 78,13,312 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,63,18

LCM of Fractions 67/78,63/13,18/312 is 8442/13

3 67, 63, 18
3 67, 21, 6
67, 7, 2

∴ So the LCM of the given numbers is 3 x 3 x 67 x 7 x 2 = 8442

Least Common Multiple of 67,63,18 with GCF Formula

Least Common Multiple of 67,63,18 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 67,63,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,63,18) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(67,63,18) x common factors =1 x 9 = 9

LCM(67,63,18) = ( 67 × 63 × 18 ) / 9

LCM(67,63,18) = 75978 / 9

LCM(67,63,18) = 8442


Lets's calculate GCF of 78,13,312

13 78, 13, 312
6, 1, 24

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8442/13

Therefore the LCM of Fractions 67/78,63/13,18/312 is 8442/13

Greatest Common Factor of 78,13,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,13,312 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 78,13,312 . The biggest common factor number is the GCF number.
So the greatest common factor 78,13,312 is 13.


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 67/78, 63/13, 18/312

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 67/78, 63/13, 18/312?

Answer: LCM of Numerators as per given numbers 67/78, 63/13, 18/312 is

LCM of Numerators i.e. for 67,63,18 is 8442

GCF of denominators i.e. for 78,13,312 is 13.

Thus, LCM of Fractions is 8442/13.Finally, LCM of Fractions for 67/78, 63/13, 18/312 is 8442/13.