Least Common Multiple of 2264/75, 3453/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2264/75, 3453/369 quickly i.e. 2605864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2264/75, 3453/369 is 2605864.

LCM(2264/75, 3453/369) = 2605864

LCM of 2264/75, 3453/369

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 2264/75,3453/369

Given numbers are 2264/75,3453/369

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 2264,3453

Least Common Multiple of Numerators i.e. LCM of 2264,3453 is 7817592.

GCF of Denominators means GCF of 75,369 as per the given fractions.

GCF of 75,369 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2264,3453

LCM of Fractions 2264/75,3453/369 is 2605864

Given numbers has no common factors except 1. So, there LCM is their product i.e 7817592

Least Common Multiple of 2264,3453 with GCF Formula

Least Common Multiple of 2264,3453 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 2264,3453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2264,3453) = 1

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

GCF(2264,3453) x common factors =1 x 1 = 1

LCM(2264,3453) = ( 2264 × 3453 ) / 1

LCM(2264,3453) = 7817592 / 1

LCM(2264,3453) = 7817592


Lets's calculate GCF of 75,369

3 75, 369
25, 123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7817592/3

Therefore the LCM of Fractions 2264/75,3453/369 is 2605864

Greatest Common Factor of 75,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,369 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 75,369 . The biggest common factor number is the GCF number.
So the greatest common factor 75,369 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 2264/75, 3453/369

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 2264/75, 3453/369?

Answer: LCM of Numerators as per given numbers 2264/75, 3453/369 is

LCM of Numerators i.e. for 2264,3453 is 7817592

GCF of denominators i.e. for 75,369 is 3.

Thus, LCM of Fractions is 2605864.Finally, LCM of Fractions for 2264/75, 3453/369 is 2605864.