Least Common Multiple of 369/400, 9497/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/400, 9497/374 quickly i.e. 3504393/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/400, 9497/374 is 3504393/2.

LCM(369/400, 9497/374) = 3504393/2

LCM of 369/400, 9497/374

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 369/400,9497/374

Given numbers are 369/400,9497/374

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 369,9497

Least Common Multiple of Numerators i.e. LCM of 369,9497 is 3504393.

GCF of Denominators means GCF of 400,374 as per the given fractions.

GCF of 400,374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,9497

LCM of Fractions 369/400,9497/374 is 3504393/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3504393

Least Common Multiple of 369,9497 with GCF Formula

Least Common Multiple of 369,9497 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 369,9497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,9497) = 1

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

GCF(369,9497) x common factors =1 x 1 = 1

LCM(369,9497) = ( 369 × 9497 ) / 1

LCM(369,9497) = 3504393 / 1

LCM(369,9497) = 3504393


Lets's calculate GCF of 400,374

2 400, 374
200, 187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3504393/2

Therefore the LCM of Fractions 369/400,9497/374 is 3504393/2

Greatest Common Factor of 400,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,374 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 400,374 . The biggest common factor number is the GCF number.
So the greatest common factor 400,374 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 369/400, 9497/374

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 369/400, 9497/374?

Answer: LCM of Numerators as per given numbers 369/400, 9497/374 is

LCM of Numerators i.e. for 369,9497 is 3504393

GCF of denominators i.e. for 400,374 is 2.

Thus, LCM of Fractions is 3504393/2.Finally, LCM of Fractions for 369/400, 9497/374 is 3504393/2.