Least Common Multiple of 3450/909, 7608/2427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3450/909, 7608/2427 quickly i.e. 1458200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3450/909, 7608/2427 is 1458200.

LCM(3450/909, 7608/2427) = 1458200

LCM of 3450/909, 7608/2427

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 3450/909,7608/2427

Given numbers are 3450/909,7608/2427

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 3450,7608

Least Common Multiple of Numerators i.e. LCM of 3450,7608 is 4374600.

GCF of Denominators means GCF of 909,2427 as per the given fractions.

GCF of 909,2427 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3450,7608

LCM of Fractions 3450/909,7608/2427 is 1458200

2 3450, 7608
3 1725, 3804
575, 1268

∴ So the LCM of the given numbers is 2 x 3 x 575 x 1268 = 4374600

Least Common Multiple of 3450,7608 with GCF Formula

Least Common Multiple of 3450,7608 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 3450,7608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3450,7608) = 6

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

GCF(3450,7608) x common factors =6 x 1 = 6

LCM(3450,7608) = ( 3450 × 7608 ) / 6

LCM(3450,7608) = 26247600 / 6

LCM(3450,7608) = 4374600


Lets's calculate GCF of 909,2427

3 909, 2427
303, 809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4374600/3

Therefore the LCM of Fractions 3450/909,7608/2427 is 1458200

Greatest Common Factor of 909,2427 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,2427 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 2427

List of positive integer factors of 2427 that divides 2427 without a remainder.

1,3,809,2427

Greatest Common Factor

We found the factors 909,2427 . The biggest common factor number is the GCF number.
So the greatest common factor 909,2427 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 3450/909, 7608/2427

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 3450/909, 7608/2427?

Answer: LCM of Numerators as per given numbers 3450/909, 7608/2427 is

LCM of Numerators i.e. for 3450,7608 is 4374600

GCF of denominators i.e. for 909,2427 is 3.

Thus, LCM of Fractions is 1458200.Finally, LCM of Fractions for 3450/909, 7608/2427 is 1458200.