Least Common Multiple of 78/72, 69/13, 65/94, 55/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/72, 69/13, 65/94, 55/193 quickly i.e. 98670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/72, 69/13, 65/94, 55/193 is 98670.

LCM(78/72, 69/13, 65/94, 55/193) = 98670

LCM of 78/72, 69/13, 65/94, 55/193

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 78/72,69/13,65/94,55/193

Given numbers are 78/72,69/13,65/94,55/193

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 78,69,65,55

Least Common Multiple of Numerators i.e. LCM of 78,69,65,55 is 98670.

GCF of Denominators means GCF of 72,13,94,193 as per the given fractions.

GCF of 72,13,94,193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,69,65,55

LCM of Fractions 78/72,69/13,65/94,55/193 is 98670

3 78, 69, 65, 55
5 26, 23, 65, 55
13 26, 23, 13, 11
2, 23, 1, 11

∴ So the LCM of the given numbers is 3 x 5 x 13 x 2 x 23 x 1 x 11 = 98670

Least Common Multiple of 78,69,65,55 with GCF Formula

Least Common Multiple of 78,69,65,55 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 78,69,65,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,69,65,55) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(78,69,65,55) x common factors =1 x 195 = 195

LCM(78,69,65,55) = ( 78 × 69 × 65 × 55 ) / 195

LCM(78,69,65,55) = 19240650 / 195

LCM(78,69,65,55) = 98670


Lets's calculate GCF of 72,13,94,193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98670/1

Therefore the LCM of Fractions 78/72,69/13,65/94,55/193 is 98670

Greatest Common Factor of 72,13,94,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,13,94,193 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 13

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

1,13

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 72,13,94,193 . The biggest common factor number is the GCF number.
So the greatest common factor 72,13,94,193 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 78/72, 69/13, 65/94, 55/193

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 78/72, 69/13, 65/94, 55/193?

Answer: LCM of Numerators as per given numbers 78/72, 69/13, 65/94, 55/193 is

LCM of Numerators i.e. for 78,69,65,55 is 98670

GCF of denominators i.e. for 72,13,94,193 is 1.

Thus, LCM of Fractions is 98670.Finally, LCM of Fractions for 78/72, 69/13, 65/94, 55/193 is 98670.