Least Common Multiple of 73/310, 96/765, 397/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/310, 96/765, 397/390 quickly i.e. 2782176/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/310, 96/765, 397/390 is 2782176/5.

LCM(73/310, 96/765, 397/390) = 2782176/5

LCM of 73/310, 96/765, 397/390

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 73/310,96/765,397/390

Given numbers are 73/310,96/765,397/390

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 73,96,397

Least Common Multiple of Numerators i.e. LCM of 73,96,397 is 2782176.

GCF of Denominators means GCF of 310,765,390 as per the given fractions.

GCF of 310,765,390 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,96,397

LCM of Fractions 73/310,96/765,397/390 is 2782176/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 2782176

Least Common Multiple of 73,96,397 with GCF Formula

Least Common Multiple of 73,96,397 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 73,96,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,96,397) = 1

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

GCF(73,96,397) x common factors =1 x 1 = 1

LCM(73,96,397) = ( 73 × 96 × 397 ) / 1

LCM(73,96,397) = 2782176 / 1

LCM(73,96,397) = 2782176


Lets's calculate GCF of 310,765,390

5 310, 765, 390
62, 153, 78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2782176/5

Therefore the LCM of Fractions 73/310,96/765,397/390 is 2782176/5

Greatest Common Factor of 310,765,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,765,390 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 310,765,390 . The biggest common factor number is the GCF number.
So the greatest common factor 310,765,390 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 73/310, 96/765, 397/390

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 73/310, 96/765, 397/390?

Answer: LCM of Numerators as per given numbers 73/310, 96/765, 397/390 is

LCM of Numerators i.e. for 73,96,397 is 2782176

GCF of denominators i.e. for 310,765,390 is 5.

Thus, LCM of Fractions is 2782176/5.Finally, LCM of Fractions for 73/310, 96/765, 397/390 is 2782176/5.