Least Common Multiple of 8228/138, 2085/2662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8228/138, 2085/2662 quickly i.e. 8577690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8228/138, 2085/2662 is 8577690.

LCM(8228/138, 2085/2662) = 8577690

LCM of 8228/138, 2085/2662

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 8228/138,2085/2662

Given numbers are 8228/138,2085/2662

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 8228,2085

Least Common Multiple of Numerators i.e. LCM of 8228,2085 is 17155380.

GCF of Denominators means GCF of 138,2662 as per the given fractions.

GCF of 138,2662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8228,2085

LCM of Fractions 8228/138,2085/2662 is 8577690

Given numbers has no common factors except 1. So, there LCM is their product i.e 17155380

Least Common Multiple of 8228,2085 with GCF Formula

Least Common Multiple of 8228,2085 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 8228,2085 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8228,2085) = 1

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

GCF(8228,2085) x common factors =1 x 1 = 1

LCM(8228,2085) = ( 8228 × 2085 ) / 1

LCM(8228,2085) = 17155380 / 1

LCM(8228,2085) = 17155380


Lets's calculate GCF of 138,2662

2 138, 2662
69, 1331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17155380/2

Therefore the LCM of Fractions 8228/138,2085/2662 is 8577690

Greatest Common Factor of 138,2662 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,2662 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 2662

List of positive integer factors of 2662 that divides 2662 without a remainder.

1,2,11,22,121,242,1331,2662

Greatest Common Factor

We found the factors 138,2662 . The biggest common factor number is the GCF number.
So the greatest common factor 138,2662 is 2.


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 8228/138, 2085/2662

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 8228/138, 2085/2662?

Answer: LCM of Numerators as per given numbers 8228/138, 2085/2662 is

LCM of Numerators i.e. for 8228,2085 is 17155380

GCF of denominators i.e. for 138,2662 is 2.

Thus, LCM of Fractions is 8577690.Finally, LCM of Fractions for 8228/138, 2085/2662 is 8577690.