Least Common Multiple of 390/985, 3924/2720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/985, 3924/2720 quickly i.e. 51012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/985, 3924/2720 is 51012.

LCM(390/985, 3924/2720) = 51012

LCM of 390/985, 3924/2720

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 390/985,3924/2720

Given numbers are 390/985,3924/2720

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 390,3924

Least Common Multiple of Numerators i.e. LCM of 390,3924 is 255060.

GCF of Denominators means GCF of 985,2720 as per the given fractions.

GCF of 985,2720 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,3924

LCM of Fractions 390/985,3924/2720 is 51012

2 390, 3924
3 195, 1962
65, 654

∴ So the LCM of the given numbers is 2 x 3 x 65 x 654 = 255060

Least Common Multiple of 390,3924 with GCF Formula

Least Common Multiple of 390,3924 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 390,3924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,3924) = 6

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

GCF(390,3924) x common factors =6 x 1 = 6

LCM(390,3924) = ( 390 × 3924 ) / 6

LCM(390,3924) = 1530360 / 6

LCM(390,3924) = 255060


Lets's calculate GCF of 985,2720

5 985, 2720
197, 544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255060/5

Therefore the LCM of Fractions 390/985,3924/2720 is 51012

Greatest Common Factor of 985,2720 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,2720 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 2720

List of positive integer factors of 2720 that divides 2720 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720

Greatest Common Factor

We found the factors 985,2720 . The biggest common factor number is the GCF number.
So the greatest common factor 985,2720 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 390/985, 3924/2720

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 390/985, 3924/2720?

Answer: LCM of Numerators as per given numbers 390/985, 3924/2720 is

LCM of Numerators i.e. for 390,3924 is 255060

GCF of denominators i.e. for 985,2720 is 5.

Thus, LCM of Fractions is 51012.Finally, LCM of Fractions for 390/985, 3924/2720 is 51012.