Least Common Multiple of 390/772, 9072/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/772, 9072/358 quickly i.e. 294840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/772, 9072/358 is 294840.

LCM(390/772, 9072/358) = 294840

LCM of 390/772, 9072/358

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 390/772,9072/358

Given numbers are 390/772,9072/358

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 390,9072

Least Common Multiple of Numerators i.e. LCM of 390,9072 is 589680.

GCF of Denominators means GCF of 772,358 as per the given fractions.

GCF of 772,358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,9072

LCM of Fractions 390/772,9072/358 is 294840

2 390, 9072
3 195, 4536
65, 1512

∴ So the LCM of the given numbers is 2 x 3 x 65 x 1512 = 589680

Least Common Multiple of 390,9072 with GCF Formula

Least Common Multiple of 390,9072 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 390,9072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,9072) = 6

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

GCF(390,9072) x common factors =6 x 1 = 6

LCM(390,9072) = ( 390 × 9072 ) / 6

LCM(390,9072) = 3538080 / 6

LCM(390,9072) = 589680


Lets's calculate GCF of 772,358

2 772, 358
386, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 589680/2

Therefore the LCM of Fractions 390/772,9072/358 is 294840

Greatest Common Factor of 772,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,358 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 772,358 . The biggest common factor number is the GCF number.
So the greatest common factor 772,358 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 390/772, 9072/358

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 390/772, 9072/358?

Answer: LCM of Numerators as per given numbers 390/772, 9072/358 is

LCM of Numerators i.e. for 390,9072 is 589680

GCF of denominators i.e. for 772,358 is 2.

Thus, LCM of Fractions is 294840.Finally, LCM of Fractions for 390/772, 9072/358 is 294840.