Least Common Multiple of 83/39, 415/96, 830/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/39, 415/96, 830/142 quickly i.e. 830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/39, 415/96, 830/142 is 830.

LCM(83/39, 415/96, 830/142) = 830

LCM of 83/39, 415/96, 830/142

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 83/39,415/96,830/142

Given numbers are 83/39,415/96,830/142

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 83,415,830

Least Common Multiple of Numerators i.e. LCM of 83,415,830 is 830.

GCF of Denominators means GCF of 39,96,142 as per the given fractions.

GCF of 39,96,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,415,830

LCM of Fractions 83/39,415/96,830/142 is 830

5 83, 415, 830
83 83, 83, 166
1, 1, 2

∴ So the LCM of the given numbers is 5 x 83 x 1 x 1 x 2 = 830

Least Common Multiple of 83,415,830 with GCF Formula

Least Common Multiple of 83,415,830 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 83,415,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,415,830) = 83

common factors(in case of two or more numbers have common factors) = 415

GCF(83,415,830) x common factors =83 x 415 = 34445

LCM(83,415,830) = ( 83 × 415 × 830 ) / 34445

LCM(83,415,830) = 28589350 / 34445

LCM(83,415,830) = 830


Lets's calculate GCF of 39,96,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 830/1

Therefore the LCM of Fractions 83/39,415/96,830/142 is 830

Greatest Common Factor of 39,96,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,96,142 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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 39,96,142 . The biggest common factor number is the GCF number.
So the greatest common factor 39,96,142 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 83/39, 415/96, 830/142

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 83/39, 415/96, 830/142?

Answer: LCM of Numerators as per given numbers 83/39, 415/96, 830/142 is

LCM of Numerators i.e. for 83,415,830 is 830

GCF of denominators i.e. for 39,96,142 is 1.

Thus, LCM of Fractions is 830.Finally, LCM of Fractions for 83/39, 415/96, 830/142 is 830.