Least Common Multiple of 2045/802, 3175/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2045/802, 3175/442 quickly i.e. 1298575/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2045/802, 3175/442 is 1298575/2.

LCM(2045/802, 3175/442) = 1298575/2

LCM of 2045/802, 3175/442

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 2045/802,3175/442

Given numbers are 2045/802,3175/442

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 2045,3175

Least Common Multiple of Numerators i.e. LCM of 2045,3175 is 1298575.

GCF of Denominators means GCF of 802,442 as per the given fractions.

GCF of 802,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2045,3175

LCM of Fractions 2045/802,3175/442 is 1298575/2

5 2045, 3175
409, 635

∴ So the LCM of the given numbers is 5 x 409 x 635 = 1298575

Least Common Multiple of 2045,3175 with GCF Formula

Least Common Multiple of 2045,3175 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 2045,3175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2045,3175) = 5

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

GCF(2045,3175) x common factors =5 x 1 = 5

LCM(2045,3175) = ( 2045 × 3175 ) / 5

LCM(2045,3175) = 6492875 / 5

LCM(2045,3175) = 1298575


Lets's calculate GCF of 802,442

2 802, 442
401, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1298575/2

Therefore the LCM of Fractions 2045/802,3175/442 is 1298575/2

Greatest Common Factor of 802,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,442 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 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 802,442 . The biggest common factor number is the GCF number.
So the greatest common factor 802,442 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 2045/802, 3175/442

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 2045/802, 3175/442?

Answer: LCM of Numerators as per given numbers 2045/802, 3175/442 is

LCM of Numerators i.e. for 2045,3175 is 1298575

GCF of denominators i.e. for 802,442 is 2.

Thus, LCM of Fractions is 1298575/2.Finally, LCM of Fractions for 2045/802, 3175/442 is 1298575/2.