Least Common Multiple of 5836/146, 5985/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5836/146, 5985/399 quickly i.e. 34928460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5836/146, 5985/399 is 34928460.

LCM(5836/146, 5985/399) = 34928460

LCM of 5836/146, 5985/399

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 5836/146,5985/399

Given numbers are 5836/146,5985/399

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 5836,5985

Least Common Multiple of Numerators i.e. LCM of 5836,5985 is 34928460.

GCF of Denominators means GCF of 146,399 as per the given fractions.

GCF of 146,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5836,5985

LCM of Fractions 5836/146,5985/399 is 34928460

Given numbers has no common factors except 1. So, there LCM is their product i.e 34928460

Least Common Multiple of 5836,5985 with GCF Formula

Least Common Multiple of 5836,5985 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 5836,5985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5836,5985) = 1

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

GCF(5836,5985) x common factors =1 x 1 = 1

LCM(5836,5985) = ( 5836 × 5985 ) / 1

LCM(5836,5985) = 34928460 / 1

LCM(5836,5985) = 34928460


Lets's calculate GCF of 146,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34928460/1

Therefore the LCM of Fractions 5836/146,5985/399 is 34928460

Greatest Common Factor of 146,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,399 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 146,399 . The biggest common factor number is the GCF number.
So the greatest common factor 146,399 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 5836/146, 5985/399

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 5836/146, 5985/399?

Answer: LCM of Numerators as per given numbers 5836/146, 5985/399 is

LCM of Numerators i.e. for 5836,5985 is 34928460

GCF of denominators i.e. for 146,399 is 1.

Thus, LCM of Fractions is 34928460.Finally, LCM of Fractions for 5836/146, 5985/399 is 34928460.