Least Common Multiple of 15/90, 70/89, 75/59, 54/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/90, 70/89, 75/59, 54/408 quickly i.e. 9450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/90, 70/89, 75/59, 54/408 is 9450.

LCM(15/90, 70/89, 75/59, 54/408) = 9450

LCM of 15/90, 70/89, 75/59, 54/408

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 15/90,70/89,75/59,54/408

Given numbers are 15/90,70/89,75/59,54/408

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 15,70,75,54

Least Common Multiple of Numerators i.e. LCM of 15,70,75,54 is 9450.

GCF of Denominators means GCF of 90,89,59,408 as per the given fractions.

GCF of 90,89,59,408 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,70,75,54

LCM of Fractions 15/90,70/89,75/59,54/408 is 9450

2 15, 70, 75, 54
3 15, 35, 75, 27
5 5, 35, 25, 9
1, 7, 5, 9

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 7 x 5 x 9 = 9450

Least Common Multiple of 15,70,75,54 with GCF Formula

Least Common Multiple of 15,70,75,54 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 15,70,75,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,70,75,54) = 1

common factors(in case of two or more numbers have common factors) = 450

GCF(15,70,75,54) x common factors =1 x 450 = 450

LCM(15,70,75,54) = ( 15 × 70 × 75 × 54 ) / 450

LCM(15,70,75,54) = 4252500 / 450

LCM(15,70,75,54) = 9450


Lets's calculate GCF of 90,89,59,408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9450/1

Therefore the LCM of Fractions 15/90,70/89,75/59,54/408 is 9450

Greatest Common Factor of 90,89,59,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,89,59,408 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 90,89,59,408 . The biggest common factor number is the GCF number.
So the greatest common factor 90,89,59,408 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 15/90, 70/89, 75/59, 54/408

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 15/90, 70/89, 75/59, 54/408?

Answer: LCM of Numerators as per given numbers 15/90, 70/89, 75/59, 54/408 is

LCM of Numerators i.e. for 15,70,75,54 is 9450

GCF of denominators i.e. for 90,89,59,408 is 1.

Thus, LCM of Fractions is 9450.Finally, LCM of Fractions for 15/90, 70/89, 75/59, 54/408 is 9450.