Least Common Multiple of 37/23, 87/71, 75/12, 89/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/23, 87/71, 75/12, 89/100 quickly i.e. 7162275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/23, 87/71, 75/12, 89/100 is 7162275.

LCM(37/23, 87/71, 75/12, 89/100) = 7162275

LCM of 37/23, 87/71, 75/12, 89/100

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 37/23,87/71,75/12,89/100

Given numbers are 37/23,87/71,75/12,89/100

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 37,87,75,89

Least Common Multiple of Numerators i.e. LCM of 37,87,75,89 is 7162275.

GCF of Denominators means GCF of 23,71,12,100 as per the given fractions.

GCF of 23,71,12,100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,87,75,89

LCM of Fractions 37/23,87/71,75/12,89/100 is 7162275

3 37, 87, 75, 89
37, 29, 25, 89

∴ So the LCM of the given numbers is 3 x 37 x 29 x 25 x 89 = 7162275

Least Common Multiple of 37,87,75,89 with GCF Formula

Least Common Multiple of 37,87,75,89 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 37,87,75,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,87,75,89) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(37,87,75,89) x common factors =1 x 3 = 3

LCM(37,87,75,89) = ( 37 × 87 × 75 × 89 ) / 3

LCM(37,87,75,89) = 21486825 / 3

LCM(37,87,75,89) = 7162275


Lets's calculate GCF of 23,71,12,100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7162275/1

Therefore the LCM of Fractions 37/23,87/71,75/12,89/100 is 7162275

Greatest Common Factor of 23,71,12,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,71,12,100 By Matching Biggest Common Factor Method

Factors of 23

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

1,23

Factors of 71

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

1,71

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 23,71,12,100 . The biggest common factor number is the GCF number.
So the greatest common factor 23,71,12,100 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 37/23, 87/71, 75/12, 89/100

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 37/23, 87/71, 75/12, 89/100?

Answer: LCM of Numerators as per given numbers 37/23, 87/71, 75/12, 89/100 is

LCM of Numerators i.e. for 37,87,75,89 is 7162275

GCF of denominators i.e. for 23,71,12,100 is 1.

Thus, LCM of Fractions is 7162275.Finally, LCM of Fractions for 37/23, 87/71, 75/12, 89/100 is 7162275.