Least Common Multiple of 45/645, 2298/8964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/645, 2298/8964 quickly i.e. 11490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/645, 2298/8964 is 11490.

LCM(45/645, 2298/8964) = 11490

LCM of 45/645, 2298/8964

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 45/645,2298/8964

Given numbers are 45/645,2298/8964

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 45,2298

Least Common Multiple of Numerators i.e. LCM of 45,2298 is 34470.

GCF of Denominators means GCF of 645,8964 as per the given fractions.

GCF of 645,8964 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,2298

LCM of Fractions 45/645,2298/8964 is 11490

3 45, 2298
15, 766

∴ So the LCM of the given numbers is 3 x 15 x 766 = 34470

Least Common Multiple of 45,2298 with GCF Formula

Least Common Multiple of 45,2298 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 45,2298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,2298) = 3

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

GCF(45,2298) x common factors =3 x 1 = 3

LCM(45,2298) = ( 45 × 2298 ) / 3

LCM(45,2298) = 103410 / 3

LCM(45,2298) = 34470


Lets's calculate GCF of 645,8964

3 645, 8964
215, 2988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34470/3

Therefore the LCM of Fractions 45/645,2298/8964 is 11490

Greatest Common Factor of 645,8964 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,8964 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 8964

List of positive integer factors of 8964 that divides 8964 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,83,108,166,249,332,498,747,996,1494,2241,2988,4482,8964

Greatest Common Factor

We found the factors 645,8964 . The biggest common factor number is the GCF number.
So the greatest common factor 645,8964 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 45/645, 2298/8964

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 45/645, 2298/8964?

Answer: LCM of Numerators as per given numbers 45/645, 2298/8964 is

LCM of Numerators i.e. for 45,2298 is 34470

GCF of denominators i.e. for 645,8964 is 3.

Thus, LCM of Fractions is 11490.Finally, LCM of Fractions for 45/645, 2298/8964 is 11490.