Least Common Multiple of 58/72, 39/51, 77/76, 96/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/72, 39/51, 77/76, 96/216 quickly i.e. 2786784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/72, 39/51, 77/76, 96/216 is 2786784.

LCM(58/72, 39/51, 77/76, 96/216) = 2786784

LCM of 58/72, 39/51, 77/76, 96/216

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 58/72,39/51,77/76,96/216

Given numbers are 58/72,39/51,77/76,96/216

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 58,39,77,96

Least Common Multiple of Numerators i.e. LCM of 58,39,77,96 is 2786784.

GCF of Denominators means GCF of 72,51,76,216 as per the given fractions.

GCF of 72,51,76,216 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,39,77,96

LCM of Fractions 58/72,39/51,77/76,96/216 is 2786784

2 58, 39, 77, 96
3 29, 39, 77, 48
29, 13, 77, 16

∴ So the LCM of the given numbers is 2 x 3 x 29 x 13 x 77 x 16 = 2786784

Least Common Multiple of 58,39,77,96 with GCF Formula

Least Common Multiple of 58,39,77,96 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 58,39,77,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,39,77,96) = 1

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

GCF(58,39,77,96) x common factors =1 x 6 = 6

LCM(58,39,77,96) = ( 58 × 39 × 77 × 96 ) / 6

LCM(58,39,77,96) = 16720704 / 6

LCM(58,39,77,96) = 2786784


Lets's calculate GCF of 72,51,76,216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2786784/1

Therefore the LCM of Fractions 58/72,39/51,77/76,96/216 is 2786784

Greatest Common Factor of 72,51,76,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,51,76,216 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 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 72,51,76,216 . The biggest common factor number is the GCF number.
So the greatest common factor 72,51,76,216 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 58/72, 39/51, 77/76, 96/216

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 58/72, 39/51, 77/76, 96/216?

Answer: LCM of Numerators as per given numbers 58/72, 39/51, 77/76, 96/216 is

LCM of Numerators i.e. for 58,39,77,96 is 2786784

GCF of denominators i.e. for 72,51,76,216 is 1.

Thus, LCM of Fractions is 2786784.Finally, LCM of Fractions for 58/72, 39/51, 77/76, 96/216 is 2786784.