Least Common Multiple of 3/78, 82/17, 49/58, 72/23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/78, 82/17, 49/58, 72/23 quickly i.e. 144648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/78, 82/17, 49/58, 72/23 is 144648.

LCM(3/78, 82/17, 49/58, 72/23) = 144648

LCM of 3/78, 82/17, 49/58, 72/23

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 3/78,82/17,49/58,72/23

Given numbers are 3/78,82/17,49/58,72/23

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 3,82,49,72

Least Common Multiple of Numerators i.e. LCM of 3,82,49,72 is 144648.

GCF of Denominators means GCF of 78,17,58,23 as per the given fractions.

GCF of 78,17,58,23 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,82,49,72

LCM of Fractions 3/78,82/17,49/58,72/23 is 144648

2 3, 82, 49, 72
3 3, 41, 49, 36
1, 41, 49, 12

∴ So the LCM of the given numbers is 2 x 3 x 1 x 41 x 49 x 12 = 144648

Least Common Multiple of 3,82,49,72 with GCF Formula

Least Common Multiple of 3,82,49,72 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 3,82,49,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,82,49,72) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(3,82,49,72) x common factors =1 x 6 = 6

LCM(3,82,49,72) = ( 3 × 82 × 49 × 72 ) / 6

LCM(3,82,49,72) = 867888 / 6

LCM(3,82,49,72) = 144648


Lets's calculate GCF of 78,17,58,23

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144648/1

Therefore the LCM of Fractions 3/78,82/17,49/58,72/23 is 144648

Greatest Common Factor of 78,17,58,23 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,17,58,23 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 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Greatest Common Factor

We found the factors 78,17,58,23 . The biggest common factor number is the GCF number.
So the greatest common factor 78,17,58,23 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 3/78, 82/17, 49/58, 72/23

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 3/78, 82/17, 49/58, 72/23?

Answer: LCM of Numerators as per given numbers 3/78, 82/17, 49/58, 72/23 is

LCM of Numerators i.e. for 3,82,49,72 is 144648

GCF of denominators i.e. for 78,17,58,23 is 1.

Thus, LCM of Fractions is 144648.Finally, LCM of Fractions for 3/78, 82/17, 49/58, 72/23 is 144648.