Least Common Multiple of 5376/230, 3646/9235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5376/230, 3646/9235 quickly i.e. 9800448/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5376/230, 3646/9235 is 9800448/5.

LCM(5376/230, 3646/9235) = 9800448/5

LCM of 5376/230, 3646/9235

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 5376/230,3646/9235

Given numbers are 5376/230,3646/9235

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 5376,3646

Least Common Multiple of Numerators i.e. LCM of 5376,3646 is 9800448.

GCF of Denominators means GCF of 230,9235 as per the given fractions.

GCF of 230,9235 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5376,3646

LCM of Fractions 5376/230,3646/9235 is 9800448/5

2 5376, 3646
2688, 1823

∴ So the LCM of the given numbers is 2 x 2688 x 1823 = 9800448

Least Common Multiple of 5376,3646 with GCF Formula

Least Common Multiple of 5376,3646 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 5376,3646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5376,3646) = 2

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

GCF(5376,3646) x common factors =2 x 1 = 2

LCM(5376,3646) = ( 5376 × 3646 ) / 2

LCM(5376,3646) = 19600896 / 2

LCM(5376,3646) = 9800448


Lets's calculate GCF of 230,9235

5 230, 9235
46, 1847

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9800448/5

Therefore the LCM of Fractions 5376/230,3646/9235 is 9800448/5

Greatest Common Factor of 230,9235 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,9235 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 9235

List of positive integer factors of 9235 that divides 9235 without a remainder.

1,5,1847,9235

Greatest Common Factor

We found the factors 230,9235 . The biggest common factor number is the GCF number.
So the greatest common factor 230,9235 is 5.


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 5376/230, 3646/9235

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 5376/230, 3646/9235?

Answer: LCM of Numerators as per given numbers 5376/230, 3646/9235 is

LCM of Numerators i.e. for 5376,3646 is 9800448

GCF of denominators i.e. for 230,9235 is 5.

Thus, LCM of Fractions is 9800448/5.Finally, LCM of Fractions for 5376/230, 3646/9235 is 9800448/5.