Least Common Multiple of 1405/802, 3709/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1405/802, 3709/505 quickly i.e. 5211145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1405/802, 3709/505 is 5211145.

LCM(1405/802, 3709/505) = 5211145

LCM of 1405/802, 3709/505

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 1405/802,3709/505

Given numbers are 1405/802,3709/505

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 1405,3709

Least Common Multiple of Numerators i.e. LCM of 1405,3709 is 5211145.

GCF of Denominators means GCF of 802,505 as per the given fractions.

GCF of 802,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1405,3709

LCM of Fractions 1405/802,3709/505 is 5211145

Given numbers has no common factors except 1. So, there LCM is their product i.e 5211145

Least Common Multiple of 1405,3709 with GCF Formula

Least Common Multiple of 1405,3709 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 1405,3709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1405,3709) = 1

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

GCF(1405,3709) x common factors =1 x 1 = 1

LCM(1405,3709) = ( 1405 × 3709 ) / 1

LCM(1405,3709) = 5211145 / 1

LCM(1405,3709) = 5211145


Lets's calculate GCF of 802,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5211145/1

Therefore the LCM of Fractions 1405/802,3709/505 is 5211145

Greatest Common Factor of 802,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,505 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 802,505 . The biggest common factor number is the GCF number.
So the greatest common factor 802,505 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1405/802, 3709/505

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 1405/802, 3709/505?

Answer: LCM of Numerators as per given numbers 1405/802, 3709/505 is

LCM of Numerators i.e. for 1405,3709 is 5211145

GCF of denominators i.e. for 802,505 is 1.

Thus, LCM of Fractions is 5211145.Finally, LCM of Fractions for 1405/802, 3709/505 is 5211145.