Least Common Multiple of 8866/340, 8735/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8866/340, 8735/268 quickly i.e. 77444510/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8866/340, 8735/268 is 77444510/4.

LCM(8866/340, 8735/268) = 77444510/4

LCM of 8866/340, 8735/268

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 8866/340,8735/268

Given numbers are 8866/340,8735/268

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 8866,8735

Least Common Multiple of Numerators i.e. LCM of 8866,8735 is 77444510.

GCF of Denominators means GCF of 340,268 as per the given fractions.

GCF of 340,268 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8866,8735

LCM of Fractions 8866/340,8735/268 is 77444510/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 77444510

Least Common Multiple of 8866,8735 with GCF Formula

Least Common Multiple of 8866,8735 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 8866,8735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8866,8735) = 1

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

GCF(8866,8735) x common factors =1 x 1 = 1

LCM(8866,8735) = ( 8866 × 8735 ) / 1

LCM(8866,8735) = 77444510 / 1

LCM(8866,8735) = 77444510


Lets's calculate GCF of 340,268

2 340, 268
2 170, 134
85, 67

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77444510/4

Therefore the LCM of Fractions 8866/340,8735/268 is 77444510/4

Greatest Common Factor of 340,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,268 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 340,268 . The biggest common factor number is the GCF number.
So the greatest common factor 340,268 is 4.


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 8866/340, 8735/268

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 8866/340, 8735/268?

Answer: LCM of Numerators as per given numbers 8866/340, 8735/268 is

LCM of Numerators i.e. for 8866,8735 is 77444510

GCF of denominators i.e. for 340,268 is 4.

Thus, LCM of Fractions is 77444510/4.Finally, LCM of Fractions for 8866/340, 8735/268 is 77444510/4.