Least Common Multiple of 1497/645, 8733/3367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1497/645, 8733/3367 quickly i.e. 4357767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1497/645, 8733/3367 is 4357767.

LCM(1497/645, 8733/3367) = 4357767

LCM of 1497/645, 8733/3367

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 1497/645,8733/3367

Given numbers are 1497/645,8733/3367

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 1497,8733

Least Common Multiple of Numerators i.e. LCM of 1497,8733 is 4357767.

GCF of Denominators means GCF of 645,3367 as per the given fractions.

GCF of 645,3367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1497,8733

LCM of Fractions 1497/645,8733/3367 is 4357767

3 1497, 8733
499, 2911

∴ So the LCM of the given numbers is 3 x 499 x 2911 = 4357767

Least Common Multiple of 1497,8733 with GCF Formula

Least Common Multiple of 1497,8733 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 1497,8733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1497,8733) = 3

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

GCF(1497,8733) x common factors =3 x 1 = 3

LCM(1497,8733) = ( 1497 × 8733 ) / 3

LCM(1497,8733) = 13073301 / 3

LCM(1497,8733) = 4357767


Lets's calculate GCF of 645,3367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4357767/1

Therefore the LCM of Fractions 1497/645,8733/3367 is 4357767

Greatest Common Factor of 645,3367 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,3367 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 3367

List of positive integer factors of 3367 that divides 3367 without a remainder.

1,7,13,37,91,259,481,3367

Greatest Common Factor

We found the factors 645,3367 . The biggest common factor number is the GCF number.
So the greatest common factor 645,3367 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1497/645, 8733/3367

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 1497/645, 8733/3367?

Answer: LCM of Numerators as per given numbers 1497/645, 8733/3367 is

LCM of Numerators i.e. for 1497,8733 is 4357767

GCF of denominators i.e. for 645,3367 is 1.

Thus, LCM of Fractions is 4357767.Finally, LCM of Fractions for 1497/645, 8733/3367 is 4357767.