Least Common Multiple of 7604/363, 4658/2076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7604/363, 4658/2076 quickly i.e. 17709716/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7604/363, 4658/2076 is 17709716/3.

LCM(7604/363, 4658/2076) = 17709716/3

LCM of 7604/363, 4658/2076

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 7604/363,4658/2076

Given numbers are 7604/363,4658/2076

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 7604,4658

Least Common Multiple of Numerators i.e. LCM of 7604,4658 is 17709716.

GCF of Denominators means GCF of 363,2076 as per the given fractions.

GCF of 363,2076 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7604,4658

LCM of Fractions 7604/363,4658/2076 is 17709716/3

2 7604, 4658
3802, 2329

∴ So the LCM of the given numbers is 2 x 3802 x 2329 = 17709716

Least Common Multiple of 7604,4658 with GCF Formula

Least Common Multiple of 7604,4658 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 7604,4658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7604,4658) = 2

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

GCF(7604,4658) x common factors =2 x 1 = 2

LCM(7604,4658) = ( 7604 × 4658 ) / 2

LCM(7604,4658) = 35419432 / 2

LCM(7604,4658) = 17709716


Lets's calculate GCF of 363,2076

3 363, 2076
121, 692

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17709716/3

Therefore the LCM of Fractions 7604/363,4658/2076 is 17709716/3

Greatest Common Factor of 363,2076 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,2076 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 2076

List of positive integer factors of 2076 that divides 2076 without a remainder.

1,2,3,4,6,12,173,346,519,692,1038,2076

Greatest Common Factor

We found the factors 363,2076 . The biggest common factor number is the GCF number.
So the greatest common factor 363,2076 is 3.


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 7604/363, 4658/2076

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 7604/363, 4658/2076?

Answer: LCM of Numerators as per given numbers 7604/363, 4658/2076 is

LCM of Numerators i.e. for 7604,4658 is 17709716

GCF of denominators i.e. for 363,2076 is 3.

Thus, LCM of Fractions is 17709716/3.Finally, LCM of Fractions for 7604/363, 4658/2076 is 17709716/3.