Least Common Multiple of 91/730, 6308/1152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/730, 6308/1152 quickly i.e. 287014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/730, 6308/1152 is 287014.

LCM(91/730, 6308/1152) = 287014

LCM of 91/730, 6308/1152

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 91/730,6308/1152

Given numbers are 91/730,6308/1152

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 91,6308

Least Common Multiple of Numerators i.e. LCM of 91,6308 is 574028.

GCF of Denominators means GCF of 730,1152 as per the given fractions.

GCF of 730,1152 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,6308

LCM of Fractions 91/730,6308/1152 is 287014

Given numbers has no common factors except 1. So, there LCM is their product i.e 574028

Least Common Multiple of 91,6308 with GCF Formula

Least Common Multiple of 91,6308 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 91,6308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,6308) = 1

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

GCF(91,6308) x common factors =1 x 1 = 1

LCM(91,6308) = ( 91 × 6308 ) / 1

LCM(91,6308) = 574028 / 1

LCM(91,6308) = 574028


Lets's calculate GCF of 730,1152

2 730, 1152
365, 576

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 574028/2

Therefore the LCM of Fractions 91/730,6308/1152 is 287014

Greatest Common Factor of 730,1152 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,1152 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 1152

List of positive integer factors of 1152 that divides 1152 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152

Greatest Common Factor

We found the factors 730,1152 . The biggest common factor number is the GCF number.
So the greatest common factor 730,1152 is 2.


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 91/730, 6308/1152

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 91/730, 6308/1152?

Answer: LCM of Numerators as per given numbers 91/730, 6308/1152 is

LCM of Numerators i.e. for 91,6308 is 574028

GCF of denominators i.e. for 730,1152 is 2.

Thus, LCM of Fractions is 287014.Finally, LCM of Fractions for 91/730, 6308/1152 is 287014.