Least Common Multiple of 39/355, 3504/9261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/355, 3504/9261 quickly i.e. 45552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/355, 3504/9261 is 45552.

LCM(39/355, 3504/9261) = 45552

LCM of 39/355, 3504/9261

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 39/355,3504/9261

Given numbers are 39/355,3504/9261

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 39,3504

Least Common Multiple of Numerators i.e. LCM of 39,3504 is 45552.

GCF of Denominators means GCF of 355,9261 as per the given fractions.

GCF of 355,9261 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,3504

LCM of Fractions 39/355,3504/9261 is 45552

3 39, 3504
13, 1168

∴ So the LCM of the given numbers is 3 x 13 x 1168 = 45552

Least Common Multiple of 39,3504 with GCF Formula

Least Common Multiple of 39,3504 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 39,3504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,3504) = 3

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

GCF(39,3504) x common factors =3 x 1 = 3

LCM(39,3504) = ( 39 × 3504 ) / 3

LCM(39,3504) = 136656 / 3

LCM(39,3504) = 45552


Lets's calculate GCF of 355,9261

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45552/1

Therefore the LCM of Fractions 39/355,3504/9261 is 45552

Greatest Common Factor of 355,9261 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,9261 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 9261

List of positive integer factors of 9261 that divides 9261 without a remainder.

1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261

Greatest Common Factor

We found the factors 355,9261 . The biggest common factor number is the GCF number.
So the greatest common factor 355,9261 is 1.


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 39/355, 3504/9261

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 39/355, 3504/9261?

Answer: LCM of Numerators as per given numbers 39/355, 3504/9261 is

LCM of Numerators i.e. for 39,3504 is 45552

GCF of denominators i.e. for 355,9261 is 1.

Thus, LCM of Fractions is 45552.Finally, LCM of Fractions for 39/355, 3504/9261 is 45552.