Least Common Multiple of 3699/801, 1595/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3699/801, 1595/744 quickly i.e. 1966635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3699/801, 1595/744 is 1966635.

LCM(3699/801, 1595/744) = 1966635

LCM of 3699/801, 1595/744

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 3699/801,1595/744

Given numbers are 3699/801,1595/744

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 3699,1595

Least Common Multiple of Numerators i.e. LCM of 3699,1595 is 5899905.

GCF of Denominators means GCF of 801,744 as per the given fractions.

GCF of 801,744 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3699,1595

LCM of Fractions 3699/801,1595/744 is 1966635

Given numbers has no common factors except 1. So, there LCM is their product i.e 5899905

Least Common Multiple of 3699,1595 with GCF Formula

Least Common Multiple of 3699,1595 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 3699,1595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3699,1595) = 1

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

GCF(3699,1595) x common factors =1 x 1 = 1

LCM(3699,1595) = ( 3699 × 1595 ) / 1

LCM(3699,1595) = 5899905 / 1

LCM(3699,1595) = 5899905


Lets's calculate GCF of 801,744

3 801, 744
267, 248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5899905/3

Therefore the LCM of Fractions 3699/801,1595/744 is 1966635

Greatest Common Factor of 801,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,744 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 801,744 . The biggest common factor number is the GCF number.
So the greatest common factor 801,744 is 3.


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Frequently Asked Questions on Fractional LCM of 3699/801, 1595/744

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 3699/801, 1595/744?

Answer: LCM of Numerators as per given numbers 3699/801, 1595/744 is

LCM of Numerators i.e. for 3699,1595 is 5899905

GCF of denominators i.e. for 801,744 is 3.

Thus, LCM of Fractions is 1966635.Finally, LCM of Fractions for 3699/801, 1595/744 is 1966635.