Least Common Multiple of 3768/536, 7230/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3768/536, 7230/418 quickly i.e. 2270220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3768/536, 7230/418 is 2270220.

LCM(3768/536, 7230/418) = 2270220

LCM of 3768/536, 7230/418

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 3768/536,7230/418

Given numbers are 3768/536,7230/418

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 3768,7230

Least Common Multiple of Numerators i.e. LCM of 3768,7230 is 4540440.

GCF of Denominators means GCF of 536,418 as per the given fractions.

GCF of 536,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3768,7230

LCM of Fractions 3768/536,7230/418 is 2270220

2 3768, 7230
3 1884, 3615
628, 1205

∴ So the LCM of the given numbers is 2 x 3 x 628 x 1205 = 4540440

Least Common Multiple of 3768,7230 with GCF Formula

Least Common Multiple of 3768,7230 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 3768,7230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3768,7230) = 6

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

GCF(3768,7230) x common factors =6 x 1 = 6

LCM(3768,7230) = ( 3768 × 7230 ) / 6

LCM(3768,7230) = 27242640 / 6

LCM(3768,7230) = 4540440


Lets's calculate GCF of 536,418

2 536, 418
268, 209

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4540440/2

Therefore the LCM of Fractions 3768/536,7230/418 is 2270220

Greatest Common Factor of 536,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,418 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 536,418 . The biggest common factor number is the GCF number.
So the greatest common factor 536,418 is 2.


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 3768/536, 7230/418

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 3768/536, 7230/418?

Answer: LCM of Numerators as per given numbers 3768/536, 7230/418 is

LCM of Numerators i.e. for 3768,7230 is 4540440

GCF of denominators i.e. for 536,418 is 2.

Thus, LCM of Fractions is 2270220.Finally, LCM of Fractions for 3768/536, 7230/418 is 2270220.