Least Common Multiple of 89/15, 56/44, 42/71, 72/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/15, 56/44, 42/71, 72/748 quickly i.e. 44856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/15, 56/44, 42/71, 72/748 is 44856.

LCM(89/15, 56/44, 42/71, 72/748) = 44856

LCM of 89/15, 56/44, 42/71, 72/748

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 89/15,56/44,42/71,72/748

Given numbers are 89/15,56/44,42/71,72/748

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 89,56,42,72

Least Common Multiple of Numerators i.e. LCM of 89,56,42,72 is 44856.

GCF of Denominators means GCF of 15,44,71,748 as per the given fractions.

GCF of 15,44,71,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,56,42,72

LCM of Fractions 89/15,56/44,42/71,72/748 is 44856

2 89, 56, 42, 72
2 89, 28, 21, 36
2 89, 14, 21, 18
3 89, 7, 21, 9
7 89, 7, 7, 3
89, 1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 89 x 1 x 1 x 3 = 44856

Least Common Multiple of 89,56,42,72 with GCF Formula

Least Common Multiple of 89,56,42,72 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 89,56,42,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,56,42,72) = 1

common factors(in case of two or more numbers have common factors) = 336

GCF(89,56,42,72) x common factors =1 x 336 = 336

LCM(89,56,42,72) = ( 89 × 56 × 42 × 72 ) / 336

LCM(89,56,42,72) = 15071616 / 336

LCM(89,56,42,72) = 44856


Lets's calculate GCF of 15,44,71,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44856/1

Therefore the LCM of Fractions 89/15,56/44,42/71,72/748 is 44856

Greatest Common Factor of 15,44,71,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,44,71,748 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 15,44,71,748 . The biggest common factor number is the GCF number.
So the greatest common factor 15,44,71,748 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 89/15, 56/44, 42/71, 72/748

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 89/15, 56/44, 42/71, 72/748?

Answer: LCM of Numerators as per given numbers 89/15, 56/44, 42/71, 72/748 is

LCM of Numerators i.e. for 89,56,42,72 is 44856

GCF of denominators i.e. for 15,44,71,748 is 1.

Thus, LCM of Fractions is 44856.Finally, LCM of Fractions for 89/15, 56/44, 42/71, 72/748 is 44856.