Least Common Multiple of 67/84, 51/78, 23/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/84, 51/78, 23/444 quickly i.e. 78591/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/84, 51/78, 23/444 is 78591/6.

LCM(67/84, 51/78, 23/444) = 78591/6

LCM of 67/84, 51/78, 23/444

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 67/84,51/78,23/444

Given numbers are 67/84,51/78,23/444

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 67,51,23

Least Common Multiple of Numerators i.e. LCM of 67,51,23 is 78591.

GCF of Denominators means GCF of 84,78,444 as per the given fractions.

GCF of 84,78,444 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,51,23

LCM of Fractions 67/84,51/78,23/444 is 78591/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 78591

Least Common Multiple of 67,51,23 with GCF Formula

Least Common Multiple of 67,51,23 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 67,51,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,51,23) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(67,51,23) x common factors =1 x 1 = 1

LCM(67,51,23) = ( 67 × 51 × 23 ) / 1

LCM(67,51,23) = 78591 / 1

LCM(67,51,23) = 78591


Lets's calculate GCF of 84,78,444

2 84, 78, 444
3 42, 39, 222
14, 13, 74

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78591/6

Therefore the LCM of Fractions 67/84,51/78,23/444 is 78591/6

Greatest Common Factor of 84,78,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,78,444 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 84,78,444 . The biggest common factor number is the GCF number.
So the greatest common factor 84,78,444 is 6.


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 67/84, 51/78, 23/444

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 67/84, 51/78, 23/444?

Answer: LCM of Numerators as per given numbers 67/84, 51/78, 23/444 is

LCM of Numerators i.e. for 67,51,23 is 78591

GCF of denominators i.e. for 84,78,444 is 6.

Thus, LCM of Fractions is 78591/6.Finally, LCM of Fractions for 67/84, 51/78, 23/444 is 78591/6.