Least Common Multiple of 390/274, 264/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/274, 264/373 quickly i.e. 17160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/274, 264/373 is 17160.

LCM(390/274, 264/373) = 17160

LCM of 390/274, 264/373

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 390/274,264/373

Given numbers are 390/274,264/373

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 390,264

Least Common Multiple of Numerators i.e. LCM of 390,264 is 17160.

GCF of Denominators means GCF of 274,373 as per the given fractions.

GCF of 274,373 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,264

LCM of Fractions 390/274,264/373 is 17160

2 390, 264
3 195, 132
65, 44

∴ So the LCM of the given numbers is 2 x 3 x 65 x 44 = 17160

Least Common Multiple of 390,264 with GCF Formula

Least Common Multiple of 390,264 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 390,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,264) = 6

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

GCF(390,264) x common factors =6 x 1 = 6

LCM(390,264) = ( 390 × 264 ) / 6

LCM(390,264) = 102960 / 6

LCM(390,264) = 17160


Lets's calculate GCF of 274,373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17160/1

Therefore the LCM of Fractions 390/274,264/373 is 17160

Greatest Common Factor of 274,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,373 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 274,373 . The biggest common factor number is the GCF number.
So the greatest common factor 274,373 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 390/274, 264/373

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 390/274, 264/373?

Answer: LCM of Numerators as per given numbers 390/274, 264/373 is

LCM of Numerators i.e. for 390,264 is 17160

GCF of denominators i.e. for 274,373 is 1.

Thus, LCM of Fractions is 17160.Finally, LCM of Fractions for 390/274, 264/373 is 17160.