Least Common Multiple of 4653/279, 3355/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4653/279, 3355/678 quickly i.e. 473055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4653/279, 3355/678 is 473055.

LCM(4653/279, 3355/678) = 473055

LCM of 4653/279, 3355/678

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 4653/279,3355/678

Given numbers are 4653/279,3355/678

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 4653,3355

Least Common Multiple of Numerators i.e. LCM of 4653,3355 is 1419165.

GCF of Denominators means GCF of 279,678 as per the given fractions.

GCF of 279,678 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4653,3355

LCM of Fractions 4653/279,3355/678 is 473055

11 4653, 3355
423, 305

∴ So the LCM of the given numbers is 11 x 423 x 305 = 1419165

Least Common Multiple of 4653,3355 with GCF Formula

Least Common Multiple of 4653,3355 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 4653,3355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4653,3355) = 11

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

GCF(4653,3355) x common factors =11 x 1 = 11

LCM(4653,3355) = ( 4653 × 3355 ) / 11

LCM(4653,3355) = 15610815 / 11

LCM(4653,3355) = 1419165


Lets's calculate GCF of 279,678

3 279, 678
93, 226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1419165/3

Therefore the LCM of Fractions 4653/279,3355/678 is 473055

Greatest Common Factor of 279,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,678 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 279,678 . The biggest common factor number is the GCF number.
So the greatest common factor 279,678 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 4653/279, 3355/678

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 4653/279, 3355/678?

Answer: LCM of Numerators as per given numbers 4653/279, 3355/678 is

LCM of Numerators i.e. for 4653,3355 is 1419165

GCF of denominators i.e. for 279,678 is 3.

Thus, LCM of Fractions is 473055.Finally, LCM of Fractions for 4653/279, 3355/678 is 473055.