Least Common Multiple of 91/651, 8491/1470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/651, 8491/1470 quickly i.e. 110383/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/651, 8491/1470 is 110383/21.

LCM(91/651, 8491/1470) = 110383/21

LCM of 91/651, 8491/1470

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 91/651,8491/1470

Given numbers are 91/651,8491/1470

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 91,8491

Least Common Multiple of Numerators i.e. LCM of 91,8491 is 110383.

GCF of Denominators means GCF of 651,1470 as per the given fractions.

GCF of 651,1470 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,8491

LCM of Fractions 91/651,8491/1470 is 110383/21

7 91, 8491
13, 1213

∴ So the LCM of the given numbers is 7 x 13 x 1213 = 110383

Least Common Multiple of 91,8491 with GCF Formula

Least Common Multiple of 91,8491 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 91,8491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,8491) = 7

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

GCF(91,8491) x common factors =7 x 1 = 7

LCM(91,8491) = ( 91 × 8491 ) / 7

LCM(91,8491) = 772681 / 7

LCM(91,8491) = 110383


Lets's calculate GCF of 651,1470

3 651, 1470
7 217, 490
31, 70

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110383/21

Therefore the LCM of Fractions 91/651,8491/1470 is 110383/21

Greatest Common Factor of 651,1470 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,1470 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 1470

List of positive integer factors of 1470 that divides 1470 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470

Greatest Common Factor

We found the factors 651,1470 . The biggest common factor number is the GCF number.
So the greatest common factor 651,1470 is 21.


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 91/651, 8491/1470

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 91/651, 8491/1470?

Answer: LCM of Numerators as per given numbers 91/651, 8491/1470 is

LCM of Numerators i.e. for 91,8491 is 110383

GCF of denominators i.e. for 651,1470 is 21.

Thus, LCM of Fractions is 110383/21.Finally, LCM of Fractions for 91/651, 8491/1470 is 110383/21.