Least Common Multiple of 9460/816, 5613/6102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9460/816, 5613/6102 quickly i.e. 8849830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9460/816, 5613/6102 is 8849830.

LCM(9460/816, 5613/6102) = 8849830

LCM of 9460/816, 5613/6102

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 9460/816,5613/6102

Given numbers are 9460/816,5613/6102

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 9460,5613

Least Common Multiple of Numerators i.e. LCM of 9460,5613 is 53098980.

GCF of Denominators means GCF of 816,6102 as per the given fractions.

GCF of 816,6102 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9460,5613

LCM of Fractions 9460/816,5613/6102 is 8849830

Given numbers has no common factors except 1. So, there LCM is their product i.e 53098980

Least Common Multiple of 9460,5613 with GCF Formula

Least Common Multiple of 9460,5613 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 9460,5613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9460,5613) = 1

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

GCF(9460,5613) x common factors =1 x 1 = 1

LCM(9460,5613) = ( 9460 × 5613 ) / 1

LCM(9460,5613) = 53098980 / 1

LCM(9460,5613) = 53098980


Lets's calculate GCF of 816,6102

2 816, 6102
3 408, 3051
136, 1017

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53098980/6

Therefore the LCM of Fractions 9460/816,5613/6102 is 8849830

Greatest Common Factor of 816,6102 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,6102 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 6102

List of positive integer factors of 6102 that divides 6102 without a remainder.

1,2,3,6,9,18,27,54,113,226,339,678,1017,2034,3051,6102

Greatest Common Factor

We found the factors 816,6102 . The biggest common factor number is the GCF number.
So the greatest common factor 816,6102 is 6.


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 9460/816, 5613/6102

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 9460/816, 5613/6102?

Answer: LCM of Numerators as per given numbers 9460/816, 5613/6102 is

LCM of Numerators i.e. for 9460,5613 is 53098980

GCF of denominators i.e. for 816,6102 is 6.

Thus, LCM of Fractions is 8849830.Finally, LCM of Fractions for 9460/816, 5613/6102 is 8849830.