Least Common Multiple of 89/15, 64/46, 90/36, 40/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/15, 64/46, 90/36, 40/967 quickly i.e. 256320 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, 64/46, 90/36, 40/967 is 256320.

LCM(89/15, 64/46, 90/36, 40/967) = 256320

LCM of 89/15, 64/46, 90/36, 40/967

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 89/15,64/46,90/36,40/967

Given numbers are 89/15,64/46,90/36,40/967

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 89,64,90,40

Least Common Multiple of Numerators i.e. LCM of 89,64,90,40 is 256320.

GCF of Denominators means GCF of 15,46,36,967 as per the given fractions.

GCF of 15,46,36,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,64,90,40

LCM of Fractions 89/15,64/46,90/36,40/967 is 256320

2 89, 64, 90, 40
2 89, 32, 45, 20
2 89, 16, 45, 10
5 89, 8, 45, 5
89, 8, 9, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 89 x 8 x 9 x 1 = 256320

Least Common Multiple of 89,64,90,40 with GCF Formula

Least Common Multiple of 89,64,90,40 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 89,64,90,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,64,90,40) = 1

common factors(in case of two or more numbers have common factors) = 80

GCF(89,64,90,40) x common factors =1 x 80 = 80

LCM(89,64,90,40) = ( 89 × 64 × 90 × 40 ) / 80

LCM(89,64,90,40) = 20505600 / 80

LCM(89,64,90,40) = 256320


Lets's calculate GCF of 15,46,36,967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256320/1

Therefore the LCM of Fractions 89/15,64/46,90/36,40/967 is 256320

Greatest Common Factor of 15,46,36,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,46,36,967 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 15,46,36,967 . The biggest common factor number is the GCF number.
So the greatest common factor 15,46,36,967 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, 64/46, 90/36, 40/967

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, 64/46, 90/36, 40/967?

Answer: LCM of Numerators as per given numbers 89/15, 64/46, 90/36, 40/967 is

LCM of Numerators i.e. for 89,64,90,40 is 256320

GCF of denominators i.e. for 15,46,36,967 is 1.

Thus, LCM of Fractions is 256320.Finally, LCM of Fractions for 89/15, 64/46, 90/36, 40/967 is 256320.