Least Common Multiple of 3108/460, 4681/4911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3108/460, 4681/4911 quickly i.e. 14548548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3108/460, 4681/4911 is 14548548.

LCM(3108/460, 4681/4911) = 14548548

LCM of 3108/460, 4681/4911

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 3108/460,4681/4911

Given numbers are 3108/460,4681/4911

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 3108,4681

Least Common Multiple of Numerators i.e. LCM of 3108,4681 is 14548548.

GCF of Denominators means GCF of 460,4911 as per the given fractions.

GCF of 460,4911 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3108,4681

LCM of Fractions 3108/460,4681/4911 is 14548548

Given numbers has no common factors except 1. So, there LCM is their product i.e 14548548

Least Common Multiple of 3108,4681 with GCF Formula

Least Common Multiple of 3108,4681 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 3108,4681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3108,4681) = 1

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

GCF(3108,4681) x common factors =1 x 1 = 1

LCM(3108,4681) = ( 3108 × 4681 ) / 1

LCM(3108,4681) = 14548548 / 1

LCM(3108,4681) = 14548548


Lets's calculate GCF of 460,4911

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14548548/1

Therefore the LCM of Fractions 3108/460,4681/4911 is 14548548

Greatest Common Factor of 460,4911 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,4911 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 4911

List of positive integer factors of 4911 that divides 4911 without a remainder.

1,3,1637,4911

Greatest Common Factor

We found the factors 460,4911 . The biggest common factor number is the GCF number.
So the greatest common factor 460,4911 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3108/460, 4681/4911

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 3108/460, 4681/4911?

Answer: LCM of Numerators as per given numbers 3108/460, 4681/4911 is

LCM of Numerators i.e. for 3108,4681 is 14548548

GCF of denominators i.e. for 460,4911 is 1.

Thus, LCM of Fractions is 14548548.Finally, LCM of Fractions for 3108/460, 4681/4911 is 14548548.