Least Common Multiple of 699/59, 312/3885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 699/59, 312/3885 quickly i.e. 72696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/59, 312/3885 is 72696.

LCM(699/59, 312/3885) = 72696

LCM of 699/59, 312/3885

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 699/59,312/3885

Given numbers are 699/59,312/3885

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 699,312

Least Common Multiple of Numerators i.e. LCM of 699,312 is 72696.

GCF of Denominators means GCF of 59,3885 as per the given fractions.

GCF of 59,3885 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,312

LCM of Fractions 699/59,312/3885 is 72696

3 699, 312
233, 104

∴ So the LCM of the given numbers is 3 x 233 x 104 = 72696

Least Common Multiple of 699,312 with GCF Formula

Least Common Multiple of 699,312 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 699,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,312) = 3

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

GCF(699,312) x common factors =3 x 1 = 3

LCM(699,312) = ( 699 × 312 ) / 3

LCM(699,312) = 218088 / 3

LCM(699,312) = 72696


Lets's calculate GCF of 59,3885

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72696/1

Therefore the LCM of Fractions 699/59,312/3885 is 72696

Greatest Common Factor of 59,3885 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,3885 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 3885

List of positive integer factors of 3885 that divides 3885 without a remainder.

1,3,5,7,15,21,35,37,105,111,185,259,555,777,1295,3885

Greatest Common Factor

We found the factors 59,3885 . The biggest common factor number is the GCF number.
So the greatest common factor 59,3885 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 699/59, 312/3885

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 699/59, 312/3885?

Answer: LCM of Numerators as per given numbers 699/59, 312/3885 is

LCM of Numerators i.e. for 699,312 is 72696

GCF of denominators i.e. for 59,3885 is 1.

Thus, LCM of Fractions is 72696.Finally, LCM of Fractions for 699/59, 312/3885 is 72696.