Least Common Multiple of 699/76, 443/3591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 699/76, 443/3591 quickly i.e. 309657/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/76, 443/3591 is 309657/19.

LCM(699/76, 443/3591) = 309657/19

LCM of 699/76, 443/3591

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 699/76,443/3591

Given numbers are 699/76,443/3591

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 699,443

Least Common Multiple of Numerators i.e. LCM of 699,443 is 309657.

GCF of Denominators means GCF of 76,3591 as per the given fractions.

GCF of 76,3591 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,443

LCM of Fractions 699/76,443/3591 is 309657/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 309657

Least Common Multiple of 699,443 with GCF Formula

Least Common Multiple of 699,443 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 699,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,443) = 1

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

GCF(699,443) x common factors =1 x 1 = 1

LCM(699,443) = ( 699 × 443 ) / 1

LCM(699,443) = 309657 / 1

LCM(699,443) = 309657


Lets's calculate GCF of 76,3591

19 76, 3591
4, 189

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309657/19

Therefore the LCM of Fractions 699/76,443/3591 is 309657/19

Greatest Common Factor of 76,3591 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,3591 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 3591

List of positive integer factors of 3591 that divides 3591 without a remainder.

1,3,7,9,19,21,27,57,63,133,171,189,399,513,1197,3591

Greatest Common Factor

We found the factors 76,3591 . The biggest common factor number is the GCF number.
So the greatest common factor 76,3591 is 19.


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 699/76, 443/3591

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 699/76, 443/3591?

Answer: LCM of Numerators as per given numbers 699/76, 443/3591 is

LCM of Numerators i.e. for 699,443 is 309657

GCF of denominators i.e. for 76,3591 is 19.

Thus, LCM of Fractions is 309657/19.Finally, LCM of Fractions for 699/76, 443/3591 is 309657/19.