Least Common Multiple of 3676/902, 3801/1774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3676/902, 3801/1774 quickly i.e. 6986238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3676/902, 3801/1774 is 6986238.

LCM(3676/902, 3801/1774) = 6986238

LCM of 3676/902, 3801/1774

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 3676/902,3801/1774

Given numbers are 3676/902,3801/1774

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 3676,3801

Least Common Multiple of Numerators i.e. LCM of 3676,3801 is 13972476.

GCF of Denominators means GCF of 902,1774 as per the given fractions.

GCF of 902,1774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3676,3801

LCM of Fractions 3676/902,3801/1774 is 6986238

Given numbers has no common factors except 1. So, there LCM is their product i.e 13972476

Least Common Multiple of 3676,3801 with GCF Formula

Least Common Multiple of 3676,3801 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 3676,3801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3676,3801) = 1

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

GCF(3676,3801) x common factors =1 x 1 = 1

LCM(3676,3801) = ( 3676 × 3801 ) / 1

LCM(3676,3801) = 13972476 / 1

LCM(3676,3801) = 13972476


Lets's calculate GCF of 902,1774

2 902, 1774
451, 887

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13972476/2

Therefore the LCM of Fractions 3676/902,3801/1774 is 6986238

Greatest Common Factor of 902,1774 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,1774 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 1774

List of positive integer factors of 1774 that divides 1774 without a remainder.

1,2,887,1774

Greatest Common Factor

We found the factors 902,1774 . The biggest common factor number is the GCF number.
So the greatest common factor 902,1774 is 2.


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 3676/902, 3801/1774

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 3676/902, 3801/1774?

Answer: LCM of Numerators as per given numbers 3676/902, 3801/1774 is

LCM of Numerators i.e. for 3676,3801 is 13972476

GCF of denominators i.e. for 902,1774 is 2.

Thus, LCM of Fractions is 6986238.Finally, LCM of Fractions for 3676/902, 3801/1774 is 6986238.