Least Common Multiple of 802/39, 422/35, 165/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/39, 422/35, 165/458 quickly i.e. 27921630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/39, 422/35, 165/458 is 27921630.

LCM(802/39, 422/35, 165/458) = 27921630

LCM of 802/39, 422/35, 165/458

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 802/39,422/35,165/458

Given numbers are 802/39,422/35,165/458

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 802,422,165

Least Common Multiple of Numerators i.e. LCM of 802,422,165 is 27921630.

GCF of Denominators means GCF of 39,35,458 as per the given fractions.

GCF of 39,35,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,422,165

LCM of Fractions 802/39,422/35,165/458 is 27921630

2 802, 422, 165
401, 211, 165

∴ So the LCM of the given numbers is 2 x 401 x 211 x 165 = 27921630

Least Common Multiple of 802,422,165 with GCF Formula

Least Common Multiple of 802,422,165 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 802,422,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,422,165) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(802,422,165) x common factors =1 x 2 = 2

LCM(802,422,165) = ( 802 × 422 × 165 ) / 2

LCM(802,422,165) = 55843260 / 2

LCM(802,422,165) = 27921630


Lets's calculate GCF of 39,35,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27921630/1

Therefore the LCM of Fractions 802/39,422/35,165/458 is 27921630

Greatest Common Factor of 39,35,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,35,458 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 39,35,458 . The biggest common factor number is the GCF number.
So the greatest common factor 39,35,458 is 1.


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 802/39, 422/35, 165/458

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 802/39, 422/35, 165/458?

Answer: LCM of Numerators as per given numbers 802/39, 422/35, 165/458 is

LCM of Numerators i.e. for 802,422,165 is 27921630

GCF of denominators i.e. for 39,35,458 is 1.

Thus, LCM of Fractions is 27921630.Finally, LCM of Fractions for 802/39, 422/35, 165/458 is 27921630.