Least Common Multiple of 997/66, 867/2541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 997/66, 867/2541 quickly i.e. 864399/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 997/66, 867/2541 is 864399/33.

LCM(997/66, 867/2541) = 864399/33

LCM of 997/66, 867/2541

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 997/66,867/2541

Given numbers are 997/66,867/2541

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 997,867

Least Common Multiple of Numerators i.e. LCM of 997,867 is 864399.

GCF of Denominators means GCF of 66,2541 as per the given fractions.

GCF of 66,2541 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 997,867

LCM of Fractions 997/66,867/2541 is 864399/33

Given numbers has no common factors except 1. So, there LCM is their product i.e 864399

Least Common Multiple of 997,867 with GCF Formula

Least Common Multiple of 997,867 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 997,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,867) = 1

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

GCF(997,867) x common factors =1 x 1 = 1

LCM(997,867) = ( 997 × 867 ) / 1

LCM(997,867) = 864399 / 1

LCM(997,867) = 864399


Lets's calculate GCF of 66,2541

3 66, 2541
11 22, 847
2, 77

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 864399/33

Therefore the LCM of Fractions 997/66,867/2541 is 864399/33

Greatest Common Factor of 66,2541 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,2541 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 2541

List of positive integer factors of 2541 that divides 2541 without a remainder.

1,3,7,11,21,33,77,121,231,363,847,2541

Greatest Common Factor

We found the factors 66,2541 . The biggest common factor number is the GCF number.
So the greatest common factor 66,2541 is 33.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 997/66, 867/2541

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 997/66, 867/2541?

Answer: LCM of Numerators as per given numbers 997/66, 867/2541 is

LCM of Numerators i.e. for 997,867 is 864399

GCF of denominators i.e. for 66,2541 is 33.

Thus, LCM of Fractions is 864399/33.Finally, LCM of Fractions for 997/66, 867/2541 is 864399/33.