Least Common Multiple of 7466/858, 8464/9691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7466/858, 8464/9691 quickly i.e. 31596112/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7466/858, 8464/9691 is 31596112/11.

LCM(7466/858, 8464/9691) = 31596112/11

LCM of 7466/858, 8464/9691

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 7466/858,8464/9691

Given numbers are 7466/858,8464/9691

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 7466,8464

Least Common Multiple of Numerators i.e. LCM of 7466,8464 is 31596112.

GCF of Denominators means GCF of 858,9691 as per the given fractions.

GCF of 858,9691 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7466,8464

LCM of Fractions 7466/858,8464/9691 is 31596112/11

2 7466, 8464
3733, 4232

∴ So the LCM of the given numbers is 2 x 3733 x 4232 = 31596112

Least Common Multiple of 7466,8464 with GCF Formula

Least Common Multiple of 7466,8464 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 7466,8464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7466,8464) = 2

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

GCF(7466,8464) x common factors =2 x 1 = 2

LCM(7466,8464) = ( 7466 × 8464 ) / 2

LCM(7466,8464) = 63192224 / 2

LCM(7466,8464) = 31596112


Lets's calculate GCF of 858,9691

11 858, 9691
78, 881

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31596112/11

Therefore the LCM of Fractions 7466/858,8464/9691 is 31596112/11

Greatest Common Factor of 858,9691 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,9691 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 9691

List of positive integer factors of 9691 that divides 9691 without a remainder.

1,11,881,9691

Greatest Common Factor

We found the factors 858,9691 . The biggest common factor number is the GCF number.
So the greatest common factor 858,9691 is 11.


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 7466/858, 8464/9691

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 7466/858, 8464/9691?

Answer: LCM of Numerators as per given numbers 7466/858, 8464/9691 is

LCM of Numerators i.e. for 7466,8464 is 31596112

GCF of denominators i.e. for 858,9691 is 11.

Thus, LCM of Fractions is 31596112/11.Finally, LCM of Fractions for 7466/858, 8464/9691 is 31596112/11.