Least Common Multiple of 230/37, 528/39, 375/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 230/37, 528/39, 375/217 quickly i.e. 1518000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 230/37, 528/39, 375/217 is 1518000.

LCM(230/37, 528/39, 375/217) = 1518000

LCM of 230/37, 528/39, 375/217

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 230/37,528/39,375/217

Given numbers are 230/37,528/39,375/217

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 230,528,375

Least Common Multiple of Numerators i.e. LCM of 230,528,375 is 1518000.

GCF of Denominators means GCF of 37,39,217 as per the given fractions.

GCF of 37,39,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 230,528,375

LCM of Fractions 230/37,528/39,375/217 is 1518000

2 230, 528, 375
3 115, 264, 375
5 115, 88, 125
23, 88, 25

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 88 x 25 = 1518000

Least Common Multiple of 230,528,375 with GCF Formula

Least Common Multiple of 230,528,375 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 230,528,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,528,375) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(230,528,375) x common factors =1 x 30 = 30

LCM(230,528,375) = ( 230 × 528 × 375 ) / 30

LCM(230,528,375) = 45540000 / 30

LCM(230,528,375) = 1518000


Lets's calculate GCF of 37,39,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1518000/1

Therefore the LCM of Fractions 230/37,528/39,375/217 is 1518000

Greatest Common Factor of 37,39,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,39,217 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 37,39,217 . The biggest common factor number is the GCF number.
So the greatest common factor 37,39,217 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 230/37, 528/39, 375/217

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 230/37, 528/39, 375/217?

Answer: LCM of Numerators as per given numbers 230/37, 528/39, 375/217 is

LCM of Numerators i.e. for 230,528,375 is 1518000

GCF of denominators i.e. for 37,39,217 is 1.

Thus, LCM of Fractions is 1518000.Finally, LCM of Fractions for 230/37, 528/39, 375/217 is 1518000.