Least Common Multiple of 6792/17, 4685/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6792/17, 4685/865 quickly i.e. 31820520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6792/17, 4685/865 is 31820520.

LCM(6792/17, 4685/865) = 31820520

LCM of 6792/17, 4685/865

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 6792/17,4685/865

Given numbers are 6792/17,4685/865

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 6792,4685

Least Common Multiple of Numerators i.e. LCM of 6792,4685 is 31820520.

GCF of Denominators means GCF of 17,865 as per the given fractions.

GCF of 17,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6792,4685

LCM of Fractions 6792/17,4685/865 is 31820520

Given numbers has no common factors except 1. So, there LCM is their product i.e 31820520

Least Common Multiple of 6792,4685 with GCF Formula

Least Common Multiple of 6792,4685 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 6792,4685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6792,4685) = 1

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

GCF(6792,4685) x common factors =1 x 1 = 1

LCM(6792,4685) = ( 6792 × 4685 ) / 1

LCM(6792,4685) = 31820520 / 1

LCM(6792,4685) = 31820520


Lets's calculate GCF of 17,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31820520/1

Therefore the LCM of Fractions 6792/17,4685/865 is 31820520

Greatest Common Factor of 17,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,865 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 17,865 . The biggest common factor number is the GCF number.
So the greatest common factor 17,865 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 6792/17, 4685/865

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 6792/17, 4685/865?

Answer: LCM of Numerators as per given numbers 6792/17, 4685/865 is

LCM of Numerators i.e. for 6792,4685 is 31820520

GCF of denominators i.e. for 17,865 is 1.

Thus, LCM of Fractions is 31820520.Finally, LCM of Fractions for 6792/17, 4685/865 is 31820520.