Least Common Multiple of 209/35, 374/7370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 209/35, 374/7370 quickly i.e. 7106/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 209/35, 374/7370 is 7106/5.

LCM(209/35, 374/7370) = 7106/5

LCM of 209/35, 374/7370

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 209/35,374/7370

Given numbers are 209/35,374/7370

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 209,374

Least Common Multiple of Numerators i.e. LCM of 209,374 is 7106.

GCF of Denominators means GCF of 35,7370 as per the given fractions.

GCF of 35,7370 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 209,374

LCM of Fractions 209/35,374/7370 is 7106/5

11 209, 374
19, 34

∴ So the LCM of the given numbers is 11 x 19 x 34 = 7106

Least Common Multiple of 209,374 with GCF Formula

Least Common Multiple of 209,374 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 209,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,374) = 11

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

GCF(209,374) x common factors =11 x 1 = 11

LCM(209,374) = ( 209 × 374 ) / 11

LCM(209,374) = 78166 / 11

LCM(209,374) = 7106


Lets's calculate GCF of 35,7370

5 35, 7370
7, 1474

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7106/5

Therefore the LCM of Fractions 209/35,374/7370 is 7106/5

Greatest Common Factor of 35,7370 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,7370 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 7370

List of positive integer factors of 7370 that divides 7370 without a remainder.

1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370

Greatest Common Factor

We found the factors 35,7370 . The biggest common factor number is the GCF number.
So the greatest common factor 35,7370 is 5.


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 209/35, 374/7370

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 209/35, 374/7370?

Answer: LCM of Numerators as per given numbers 209/35, 374/7370 is

LCM of Numerators i.e. for 209,374 is 7106

GCF of denominators i.e. for 35,7370 is 5.

Thus, LCM of Fractions is 7106/5.Finally, LCM of Fractions for 209/35, 374/7370 is 7106/5.