Least Common Multiple of 7867/87, 2666/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7867/87, 2666/894 quickly i.e. 20973422/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7867/87, 2666/894 is 20973422/3.

LCM(7867/87, 2666/894) = 20973422/3

LCM of 7867/87, 2666/894

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 7867/87,2666/894

Given numbers are 7867/87,2666/894

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 7867,2666

Least Common Multiple of Numerators i.e. LCM of 7867,2666 is 20973422.

GCF of Denominators means GCF of 87,894 as per the given fractions.

GCF of 87,894 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7867,2666

LCM of Fractions 7867/87,2666/894 is 20973422/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 20973422

Least Common Multiple of 7867,2666 with GCF Formula

Least Common Multiple of 7867,2666 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 7867,2666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7867,2666) = 1

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

GCF(7867,2666) x common factors =1 x 1 = 1

LCM(7867,2666) = ( 7867 × 2666 ) / 1

LCM(7867,2666) = 20973422 / 1

LCM(7867,2666) = 20973422


Lets's calculate GCF of 87,894

3 87, 894
29, 298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20973422/3

Therefore the LCM of Fractions 7867/87,2666/894 is 20973422/3

Greatest Common Factor of 87,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,894 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 87,894 . The biggest common factor number is the GCF number.
So the greatest common factor 87,894 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7867/87, 2666/894

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 7867/87, 2666/894?

Answer: LCM of Numerators as per given numbers 7867/87, 2666/894 is

LCM of Numerators i.e. for 7867,2666 is 20973422

GCF of denominators i.e. for 87,894 is 3.

Thus, LCM of Fractions is 20973422/3.Finally, LCM of Fractions for 7867/87, 2666/894 is 20973422/3.