Least Common Multiple of 366/572, 105/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 366/572, 105/754 quickly i.e. 12810/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 366/572, 105/754 is 12810/26.

LCM(366/572, 105/754) = 12810/26

LCM of 366/572, 105/754

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 366/572,105/754

Given numbers are 366/572,105/754

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 366,105

Least Common Multiple of Numerators i.e. LCM of 366,105 is 12810.

GCF of Denominators means GCF of 572,754 as per the given fractions.

GCF of 572,754 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 366,105

LCM of Fractions 366/572,105/754 is 12810/26

3 366, 105
122, 35

∴ So the LCM of the given numbers is 3 x 122 x 35 = 12810

Least Common Multiple of 366,105 with GCF Formula

Least Common Multiple of 366,105 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 366,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,105) = 3

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

GCF(366,105) x common factors =3 x 1 = 3

LCM(366,105) = ( 366 × 105 ) / 3

LCM(366,105) = 38430 / 3

LCM(366,105) = 12810


Lets's calculate GCF of 572,754

2 572, 754
13 286, 377
22, 29

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12810/26

Therefore the LCM of Fractions 366/572,105/754 is 12810/26

Greatest Common Factor of 572,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,754 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 572,754 . The biggest common factor number is the GCF number.
So the greatest common factor 572,754 is 26.


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 366/572, 105/754

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 366/572, 105/754?

Answer: LCM of Numerators as per given numbers 366/572, 105/754 is

LCM of Numerators i.e. for 366,105 is 12810

GCF of denominators i.e. for 572,754 is 26.

Thus, LCM of Fractions is 12810/26.Finally, LCM of Fractions for 366/572, 105/754 is 12810/26.