Least Common Multiple of 35/209, 6092/3400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/209, 6092/3400 quickly i.e. 213220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/209, 6092/3400 is 213220.

LCM(35/209, 6092/3400) = 213220

LCM of 35/209, 6092/3400

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 35/209,6092/3400

Given numbers are 35/209,6092/3400

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 35,6092

Least Common Multiple of Numerators i.e. LCM of 35,6092 is 213220.

GCF of Denominators means GCF of 209,3400 as per the given fractions.

GCF of 209,3400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,6092

LCM of Fractions 35/209,6092/3400 is 213220

Given numbers has no common factors except 1. So, there LCM is their product i.e 213220

Least Common Multiple of 35,6092 with GCF Formula

Least Common Multiple of 35,6092 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 35,6092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,6092) = 1

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

GCF(35,6092) x common factors =1 x 1 = 1

LCM(35,6092) = ( 35 × 6092 ) / 1

LCM(35,6092) = 213220 / 1

LCM(35,6092) = 213220


Lets's calculate GCF of 209,3400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213220/1

Therefore the LCM of Fractions 35/209,6092/3400 is 213220

Greatest Common Factor of 209,3400 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,3400 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 3400

List of positive integer factors of 3400 that divides 3400 without a remainder.

1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400

Greatest Common Factor

We found the factors 209,3400 . The biggest common factor number is the GCF number.
So the greatest common factor 209,3400 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 35/209, 6092/3400

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 35/209, 6092/3400?

Answer: LCM of Numerators as per given numbers 35/209, 6092/3400 is

LCM of Numerators i.e. for 35,6092 is 213220

GCF of denominators i.e. for 209,3400 is 1.

Thus, LCM of Fractions is 213220.Finally, LCM of Fractions for 35/209, 6092/3400 is 213220.