Least Common Multiple of 732/184, 5751/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/184, 5751/216 quickly i.e. 1403244/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/184, 5751/216 is 1403244/8.

LCM(732/184, 5751/216) = 1403244/8

LCM of 732/184, 5751/216

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 732/184,5751/216

Given numbers are 732/184,5751/216

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 732,5751

Least Common Multiple of Numerators i.e. LCM of 732,5751 is 1403244.

GCF of Denominators means GCF of 184,216 as per the given fractions.

GCF of 184,216 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,5751

LCM of Fractions 732/184,5751/216 is 1403244/8

3 732, 5751
244, 1917

∴ So the LCM of the given numbers is 3 x 244 x 1917 = 1403244

Least Common Multiple of 732,5751 with GCF Formula

Least Common Multiple of 732,5751 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 732,5751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,5751) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(732,5751) x common factors =3 x 1 = 3

LCM(732,5751) = ( 732 × 5751 ) / 3

LCM(732,5751) = 4209732 / 3

LCM(732,5751) = 1403244


Lets's calculate GCF of 184,216

2 184, 216
2 92, 108
2 46, 54
23, 27

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1403244/8

Therefore the LCM of Fractions 732/184,5751/216 is 1403244/8

Greatest Common Factor of 184,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,216 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 184,216 . The biggest common factor number is the GCF number.
So the greatest common factor 184,216 is 8.


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 732/184, 5751/216

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 732/184, 5751/216?

Answer: LCM of Numerators as per given numbers 732/184, 5751/216 is

LCM of Numerators i.e. for 732,5751 is 1403244

GCF of denominators i.e. for 184,216 is 8.

Thus, LCM of Fractions is 1403244/8.Finally, LCM of Fractions for 732/184, 5751/216 is 1403244/8.