Least Common Multiple of 3407/209, 7582/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3407/209, 7582/506 quickly i.e. 25831874/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3407/209, 7582/506 is 25831874/11.

LCM(3407/209, 7582/506) = 25831874/11

LCM of 3407/209, 7582/506

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 3407/209,7582/506

Given numbers are 3407/209,7582/506

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 3407,7582

Least Common Multiple of Numerators i.e. LCM of 3407,7582 is 25831874.

GCF of Denominators means GCF of 209,506 as per the given fractions.

GCF of 209,506 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3407,7582

LCM of Fractions 3407/209,7582/506 is 25831874/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 25831874

Least Common Multiple of 3407,7582 with GCF Formula

Least Common Multiple of 3407,7582 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 3407,7582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3407,7582) = 1

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

GCF(3407,7582) x common factors =1 x 1 = 1

LCM(3407,7582) = ( 3407 × 7582 ) / 1

LCM(3407,7582) = 25831874 / 1

LCM(3407,7582) = 25831874


Lets's calculate GCF of 209,506

11 209, 506
19, 46

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25831874/11

Therefore the LCM of Fractions 3407/209,7582/506 is 25831874/11

Greatest Common Factor of 209,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,506 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 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 209,506 . The biggest common factor number is the GCF number.
So the greatest common factor 209,506 is 11.


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 3407/209, 7582/506

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 3407/209, 7582/506?

Answer: LCM of Numerators as per given numbers 3407/209, 7582/506 is

LCM of Numerators i.e. for 3407,7582 is 25831874

GCF of denominators i.e. for 209,506 is 11.

Thus, LCM of Fractions is 25831874/11.Finally, LCM of Fractions for 3407/209, 7582/506 is 25831874/11.