Least Common Multiple of 3378/210, 3437/8506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3378/210, 3437/8506 quickly i.e. 5805093 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3378/210, 3437/8506 is 5805093.

LCM(3378/210, 3437/8506) = 5805093

LCM of 3378/210, 3437/8506

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 3378/210,3437/8506

Given numbers are 3378/210,3437/8506

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 3378,3437

Least Common Multiple of Numerators i.e. LCM of 3378,3437 is 11610186.

GCF of Denominators means GCF of 210,8506 as per the given fractions.

GCF of 210,8506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3378,3437

LCM of Fractions 3378/210,3437/8506 is 5805093

Given numbers has no common factors except 1. So, there LCM is their product i.e 11610186

Least Common Multiple of 3378,3437 with GCF Formula

Least Common Multiple of 3378,3437 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 3378,3437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3378,3437) = 1

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

GCF(3378,3437) x common factors =1 x 1 = 1

LCM(3378,3437) = ( 3378 × 3437 ) / 1

LCM(3378,3437) = 11610186 / 1

LCM(3378,3437) = 11610186


Lets's calculate GCF of 210,8506

2 210, 8506
105, 4253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11610186/2

Therefore the LCM of Fractions 3378/210,3437/8506 is 5805093

Greatest Common Factor of 210,8506 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,8506 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 8506

List of positive integer factors of 8506 that divides 8506 without a remainder.

1,2,4253,8506

Greatest Common Factor

We found the factors 210,8506 . The biggest common factor number is the GCF number.
So the greatest common factor 210,8506 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 3378/210, 3437/8506

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 3378/210, 3437/8506?

Answer: LCM of Numerators as per given numbers 3378/210, 3437/8506 is

LCM of Numerators i.e. for 3378,3437 is 11610186

GCF of denominators i.e. for 210,8506 is 2.

Thus, LCM of Fractions is 5805093.Finally, LCM of Fractions for 3378/210, 3437/8506 is 5805093.