Least Common Multiple of 412/137, 451/799, 166/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/137, 451/799, 166/285 quickly i.e. 15422396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/137, 451/799, 166/285 is 15422396.

LCM(412/137, 451/799, 166/285) = 15422396

LCM of 412/137, 451/799, 166/285

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 412/137,451/799,166/285

Given numbers are 412/137,451/799,166/285

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 412,451,166

Least Common Multiple of Numerators i.e. LCM of 412,451,166 is 15422396.

GCF of Denominators means GCF of 137,799,285 as per the given fractions.

GCF of 137,799,285 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,451,166

LCM of Fractions 412/137,451/799,166/285 is 15422396

2 412, 451, 166
206, 451, 83

∴ So the LCM of the given numbers is 2 x 206 x 451 x 83 = 15422396

Least Common Multiple of 412,451,166 with GCF Formula

Least Common Multiple of 412,451,166 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 412,451,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,451,166) = 1

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

GCF(412,451,166) x common factors =1 x 2 = 2

LCM(412,451,166) = ( 412 × 451 × 166 ) / 2

LCM(412,451,166) = 30844792 / 2

LCM(412,451,166) = 15422396


Lets's calculate GCF of 137,799,285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15422396/1

Therefore the LCM of Fractions 412/137,451/799,166/285 is 15422396

Greatest Common Factor of 137,799,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,799,285 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 137,799,285 . The biggest common factor number is the GCF number.
So the greatest common factor 137,799,285 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 412/137, 451/799, 166/285

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 412/137, 451/799, 166/285?

Answer: LCM of Numerators as per given numbers 412/137, 451/799, 166/285 is

LCM of Numerators i.e. for 412,451,166 is 15422396

GCF of denominators i.e. for 137,799,285 is 1.

Thus, LCM of Fractions is 15422396.Finally, LCM of Fractions for 412/137, 451/799, 166/285 is 15422396.