Least Common Multiple of 23/85, 40/54, 75/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/85, 40/54, 75/989 quickly i.e. 13800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/85, 40/54, 75/989 is 13800.

LCM(23/85, 40/54, 75/989) = 13800

LCM of 23/85, 40/54, 75/989

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 23/85,40/54,75/989

Given numbers are 23/85,40/54,75/989

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 23,40,75

Least Common Multiple of Numerators i.e. LCM of 23,40,75 is 13800.

GCF of Denominators means GCF of 85,54,989 as per the given fractions.

GCF of 85,54,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,40,75

LCM of Fractions 23/85,40/54,75/989 is 13800

5 23, 40, 75
23, 8, 15

∴ So the LCM of the given numbers is 5 x 23 x 8 x 15 = 13800

Least Common Multiple of 23,40,75 with GCF Formula

Least Common Multiple of 23,40,75 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 23,40,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,40,75) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(23,40,75) x common factors =1 x 5 = 5

LCM(23,40,75) = ( 23 × 40 × 75 ) / 5

LCM(23,40,75) = 69000 / 5

LCM(23,40,75) = 13800


Lets's calculate GCF of 85,54,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13800/1

Therefore the LCM of Fractions 23/85,40/54,75/989 is 13800

Greatest Common Factor of 85,54,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,54,989 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 85,54,989 . The biggest common factor number is the GCF number.
So the greatest common factor 85,54,989 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 23/85, 40/54, 75/989

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 23/85, 40/54, 75/989?

Answer: LCM of Numerators as per given numbers 23/85, 40/54, 75/989 is

LCM of Numerators i.e. for 23,40,75 is 13800

GCF of denominators i.e. for 85,54,989 is 1.

Thus, LCM of Fractions is 13800.Finally, LCM of Fractions for 23/85, 40/54, 75/989 is 13800.