Least Common Multiple of 8185/821, 3422/5614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8185/821, 3422/5614 quickly i.e. 28009070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8185/821, 3422/5614 is 28009070.

LCM(8185/821, 3422/5614) = 28009070

LCM of 8185/821, 3422/5614

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 8185/821,3422/5614

Given numbers are 8185/821,3422/5614

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 8185,3422

Least Common Multiple of Numerators i.e. LCM of 8185,3422 is 28009070.

GCF of Denominators means GCF of 821,5614 as per the given fractions.

GCF of 821,5614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8185,3422

LCM of Fractions 8185/821,3422/5614 is 28009070

Given numbers has no common factors except 1. So, there LCM is their product i.e 28009070

Least Common Multiple of 8185,3422 with GCF Formula

Least Common Multiple of 8185,3422 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 8185,3422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8185,3422) = 1

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

GCF(8185,3422) x common factors =1 x 1 = 1

LCM(8185,3422) = ( 8185 × 3422 ) / 1

LCM(8185,3422) = 28009070 / 1

LCM(8185,3422) = 28009070


Lets's calculate GCF of 821,5614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28009070/1

Therefore the LCM of Fractions 8185/821,3422/5614 is 28009070

Greatest Common Factor of 821,5614 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,5614 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 5614

List of positive integer factors of 5614 that divides 5614 without a remainder.

1,2,7,14,401,802,2807,5614

Greatest Common Factor

We found the factors 821,5614 . The biggest common factor number is the GCF number.
So the greatest common factor 821,5614 is 1.


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 8185/821, 3422/5614

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 8185/821, 3422/5614?

Answer: LCM of Numerators as per given numbers 8185/821, 3422/5614 is

LCM of Numerators i.e. for 8185,3422 is 28009070

GCF of denominators i.e. for 821,5614 is 1.

Thus, LCM of Fractions is 28009070.Finally, LCM of Fractions for 8185/821, 3422/5614 is 28009070.