Least Common Multiple of 309/24, 552/3765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/24, 552/3765 quickly i.e. 18952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/24, 552/3765 is 18952.

LCM(309/24, 552/3765) = 18952

LCM of 309/24, 552/3765

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 309/24,552/3765

Given numbers are 309/24,552/3765

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 309,552

Least Common Multiple of Numerators i.e. LCM of 309,552 is 56856.

GCF of Denominators means GCF of 24,3765 as per the given fractions.

GCF of 24,3765 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,552

LCM of Fractions 309/24,552/3765 is 18952

3 309, 552
103, 184

∴ So the LCM of the given numbers is 3 x 103 x 184 = 56856

Least Common Multiple of 309,552 with GCF Formula

Least Common Multiple of 309,552 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 309,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,552) = 3

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

GCF(309,552) x common factors =3 x 1 = 3

LCM(309,552) = ( 309 × 552 ) / 3

LCM(309,552) = 170568 / 3

LCM(309,552) = 56856


Lets's calculate GCF of 24,3765

3 24, 3765
8, 1255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56856/3

Therefore the LCM of Fractions 309/24,552/3765 is 18952

Greatest Common Factor of 24,3765 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,3765 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 3765

List of positive integer factors of 3765 that divides 3765 without a remainder.

1,3,5,15,251,753,1255,3765

Greatest Common Factor

We found the factors 24,3765 . The biggest common factor number is the GCF number.
So the greatest common factor 24,3765 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 309/24, 552/3765

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 309/24, 552/3765?

Answer: LCM of Numerators as per given numbers 309/24, 552/3765 is

LCM of Numerators i.e. for 309,552 is 56856

GCF of denominators i.e. for 24,3765 is 3.

Thus, LCM of Fractions is 18952.Finally, LCM of Fractions for 309/24, 552/3765 is 18952.