Least Common Multiple of 3864/368, 5880/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3864/368, 5880/274 quickly i.e. 67620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3864/368, 5880/274 is 67620.

LCM(3864/368, 5880/274) = 67620

LCM of 3864/368, 5880/274

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 3864/368,5880/274

Given numbers are 3864/368,5880/274

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 3864,5880

Least Common Multiple of Numerators i.e. LCM of 3864,5880 is 135240.

GCF of Denominators means GCF of 368,274 as per the given fractions.

GCF of 368,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3864,5880

LCM of Fractions 3864/368,5880/274 is 67620

2 3864, 5880
2 1932, 2940
2 966, 1470
3 483, 735
7 161, 245
23, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 23 x 35 = 135240

Least Common Multiple of 3864,5880 with GCF Formula

Least Common Multiple of 3864,5880 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 3864,5880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3864,5880) = 168

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

GCF(3864,5880) x common factors =168 x 1 = 168

LCM(3864,5880) = ( 3864 × 5880 ) / 168

LCM(3864,5880) = 22720320 / 168

LCM(3864,5880) = 135240


Lets's calculate GCF of 368,274

2 368, 274
184, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135240/2

Therefore the LCM of Fractions 3864/368,5880/274 is 67620

Greatest Common Factor of 368,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,274 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 368,274 . The biggest common factor number is the GCF number.
So the greatest common factor 368,274 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 3864/368, 5880/274

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 3864/368, 5880/274?

Answer: LCM of Numerators as per given numbers 3864/368, 5880/274 is

LCM of Numerators i.e. for 3864,5880 is 135240

GCF of denominators i.e. for 368,274 is 2.

Thus, LCM of Fractions is 67620.Finally, LCM of Fractions for 3864/368, 5880/274 is 67620.