Least Common Multiple of 804/72, 710/2355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 804/72, 710/2355 quickly i.e. 95140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 804/72, 710/2355 is 95140.

LCM(804/72, 710/2355) = 95140

LCM of 804/72, 710/2355

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 804/72,710/2355

Given numbers are 804/72,710/2355

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 804,710

Least Common Multiple of Numerators i.e. LCM of 804,710 is 285420.

GCF of Denominators means GCF of 72,2355 as per the given fractions.

GCF of 72,2355 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 804,710

LCM of Fractions 804/72,710/2355 is 95140

2 804, 710
402, 355

∴ So the LCM of the given numbers is 2 x 402 x 355 = 285420

Least Common Multiple of 804,710 with GCF Formula

Least Common Multiple of 804,710 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 804,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,710) = 2

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

GCF(804,710) x common factors =2 x 1 = 2

LCM(804,710) = ( 804 × 710 ) / 2

LCM(804,710) = 570840 / 2

LCM(804,710) = 285420


Lets's calculate GCF of 72,2355

3 72, 2355
24, 785

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285420/3

Therefore the LCM of Fractions 804/72,710/2355 is 95140

Greatest Common Factor of 72,2355 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,2355 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 2355

List of positive integer factors of 2355 that divides 2355 without a remainder.

1,3,5,15,157,471,785,2355

Greatest Common Factor

We found the factors 72,2355 . The biggest common factor number is the GCF number.
So the greatest common factor 72,2355 is 3.


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 804/72, 710/2355

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 804/72, 710/2355?

Answer: LCM of Numerators as per given numbers 804/72, 710/2355 is

LCM of Numerators i.e. for 804,710 is 285420

GCF of denominators i.e. for 72,2355 is 3.

Thus, LCM of Fractions is 95140.Finally, LCM of Fractions for 804/72, 710/2355 is 95140.