Least Common Multiple of 832/84, 840/17, 215/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 832/84, 840/17, 215/940 quickly i.e. 3756480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 832/84, 840/17, 215/940 is 3756480.

LCM(832/84, 840/17, 215/940) = 3756480

LCM of 832/84, 840/17, 215/940

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 832/84,840/17,215/940

Given numbers are 832/84,840/17,215/940

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 832,840,215

Least Common Multiple of Numerators i.e. LCM of 832,840,215 is 3756480.

GCF of Denominators means GCF of 84,17,940 as per the given fractions.

GCF of 84,17,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 832,840,215

LCM of Fractions 832/84,840/17,215/940 is 3756480

2 832, 840, 215
2 416, 420, 215
2 208, 210, 215
5 104, 105, 215
104, 21, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 104 x 21 x 43 = 3756480

Least Common Multiple of 832,840,215 with GCF Formula

Least Common Multiple of 832,840,215 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 832,840,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,840,215) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(832,840,215) x common factors =1 x 40 = 40

LCM(832,840,215) = ( 832 × 840 × 215 ) / 40

LCM(832,840,215) = 150259200 / 40

LCM(832,840,215) = 3756480


Lets's calculate GCF of 84,17,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3756480/1

Therefore the LCM of Fractions 832/84,840/17,215/940 is 3756480

Greatest Common Factor of 84,17,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,17,940 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 84,17,940 . The biggest common factor number is the GCF number.
So the greatest common factor 84,17,940 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 832/84, 840/17, 215/940

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 832/84, 840/17, 215/940?

Answer: LCM of Numerators as per given numbers 832/84, 840/17, 215/940 is

LCM of Numerators i.e. for 832,840,215 is 3756480

GCF of denominators i.e. for 84,17,940 is 1.

Thus, LCM of Fractions is 3756480.Finally, LCM of Fractions for 832/84, 840/17, 215/940 is 3756480.