Least Common Multiple of 308/237, 523/509, 432/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/237, 523/509, 432/323 quickly i.e. 17397072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/237, 523/509, 432/323 is 17397072.

LCM(308/237, 523/509, 432/323) = 17397072

LCM of 308/237, 523/509, 432/323

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 308/237,523/509,432/323

Given numbers are 308/237,523/509,432/323

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 308,523,432

Least Common Multiple of Numerators i.e. LCM of 308,523,432 is 17397072.

GCF of Denominators means GCF of 237,509,323 as per the given fractions.

GCF of 237,509,323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,523,432

LCM of Fractions 308/237,523/509,432/323 is 17397072

2 308, 523, 432
2 154, 523, 216
77, 523, 108

∴ So the LCM of the given numbers is 2 x 2 x 77 x 523 x 108 = 17397072

Least Common Multiple of 308,523,432 with GCF Formula

Least Common Multiple of 308,523,432 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 308,523,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,523,432) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(308,523,432) x common factors =1 x 4 = 4

LCM(308,523,432) = ( 308 × 523 × 432 ) / 4

LCM(308,523,432) = 69588288 / 4

LCM(308,523,432) = 17397072


Lets's calculate GCF of 237,509,323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17397072/1

Therefore the LCM of Fractions 308/237,523/509,432/323 is 17397072

Greatest Common Factor of 237,509,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,509,323 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 237,509,323 . The biggest common factor number is the GCF number.
So the greatest common factor 237,509,323 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 308/237, 523/509, 432/323

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 308/237, 523/509, 432/323?

Answer: LCM of Numerators as per given numbers 308/237, 523/509, 432/323 is

LCM of Numerators i.e. for 308,523,432 is 17397072

GCF of denominators i.e. for 237,509,323 is 1.

Thus, LCM of Fractions is 17397072.Finally, LCM of Fractions for 308/237, 523/509, 432/323 is 17397072.