Least Common Multiple of 419/58, 867/36, 376/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 419/58, 867/36, 376/825 quickly i.e. 136590648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 419/58, 867/36, 376/825 is 136590648.

LCM(419/58, 867/36, 376/825) = 136590648

LCM of 419/58, 867/36, 376/825

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 419/58,867/36,376/825

Given numbers are 419/58,867/36,376/825

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 419,867,376

Least Common Multiple of Numerators i.e. LCM of 419,867,376 is 136590648.

GCF of Denominators means GCF of 58,36,825 as per the given fractions.

GCF of 58,36,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 419,867,376

LCM of Fractions 419/58,867/36,376/825 is 136590648

Given numbers has no common factors except 1. So, there LCM is their product i.e 136590648

Least Common Multiple of 419,867,376 with GCF Formula

Least Common Multiple of 419,867,376 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 419,867,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,867,376) = 1

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

GCF(419,867,376) x common factors =1 x 1 = 1

LCM(419,867,376) = ( 419 × 867 × 376 ) / 1

LCM(419,867,376) = 136590648 / 1

LCM(419,867,376) = 136590648


Lets's calculate GCF of 58,36,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136590648/1

Therefore the LCM of Fractions 419/58,867/36,376/825 is 136590648

Greatest Common Factor of 58,36,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,36,825 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 58,36,825 . The biggest common factor number is the GCF number.
So the greatest common factor 58,36,825 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 419/58, 867/36, 376/825

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 419/58, 867/36, 376/825?

Answer: LCM of Numerators as per given numbers 419/58, 867/36, 376/825 is

LCM of Numerators i.e. for 419,867,376 is 136590648

GCF of denominators i.e. for 58,36,825 is 1.

Thus, LCM of Fractions is 136590648.Finally, LCM of Fractions for 419/58, 867/36, 376/825 is 136590648.