Least Common Multiple of 374/403, 7192/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/403, 7192/338 quickly i.e. 1344904/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/403, 7192/338 is 1344904/13.

LCM(374/403, 7192/338) = 1344904/13

LCM of 374/403, 7192/338

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 374/403,7192/338

Given numbers are 374/403,7192/338

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 374,7192

Least Common Multiple of Numerators i.e. LCM of 374,7192 is 1344904.

GCF of Denominators means GCF of 403,338 as per the given fractions.

GCF of 403,338 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,7192

LCM of Fractions 374/403,7192/338 is 1344904/13

2 374, 7192
187, 3596

∴ So the LCM of the given numbers is 2 x 187 x 3596 = 1344904

Least Common Multiple of 374,7192 with GCF Formula

Least Common Multiple of 374,7192 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 374,7192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,7192) = 2

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

GCF(374,7192) x common factors =2 x 1 = 2

LCM(374,7192) = ( 374 × 7192 ) / 2

LCM(374,7192) = 2689808 / 2

LCM(374,7192) = 1344904


Lets's calculate GCF of 403,338

13 403, 338
31, 26

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1344904/13

Therefore the LCM of Fractions 374/403,7192/338 is 1344904/13

Greatest Common Factor of 403,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,338 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 403,338 . The biggest common factor number is the GCF number.
So the greatest common factor 403,338 is 13.


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 374/403, 7192/338

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 374/403, 7192/338?

Answer: LCM of Numerators as per given numbers 374/403, 7192/338 is

LCM of Numerators i.e. for 374,7192 is 1344904

GCF of denominators i.e. for 403,338 is 13.

Thus, LCM of Fractions is 1344904/13.Finally, LCM of Fractions for 374/403, 7192/338 is 1344904/13.