Least Common Multiple of 84/42, 217/72, 851/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/42, 217/72, 851/285 quickly i.e. 738668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/42, 217/72, 851/285 is 738668.

LCM(84/42, 217/72, 851/285) = 738668

LCM of 84/42, 217/72, 851/285

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 84/42,217/72,851/285

Given numbers are 84/42,217/72,851/285

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 84,217,851

Least Common Multiple of Numerators i.e. LCM of 84,217,851 is 2216004.

GCF of Denominators means GCF of 42,72,285 as per the given fractions.

GCF of 42,72,285 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,217,851

LCM of Fractions 84/42,217/72,851/285 is 738668

7 84, 217, 851
12, 31, 851

∴ So the LCM of the given numbers is 7 x 12 x 31 x 851 = 2216004

Least Common Multiple of 84,217,851 with GCF Formula

Least Common Multiple of 84,217,851 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 84,217,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,217,851) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(84,217,851) x common factors =1 x 7 = 7

LCM(84,217,851) = ( 84 × 217 × 851 ) / 7

LCM(84,217,851) = 15512028 / 7

LCM(84,217,851) = 2216004


Lets's calculate GCF of 42,72,285

3 42, 72, 285
14, 24, 95

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2216004/3

Therefore the LCM of Fractions 84/42,217/72,851/285 is 738668

Greatest Common Factor of 42,72,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,72,285 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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 42,72,285 . The biggest common factor number is the GCF number.
So the greatest common factor 42,72,285 is 3.


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 84/42, 217/72, 851/285

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 84/42, 217/72, 851/285?

Answer: LCM of Numerators as per given numbers 84/42, 217/72, 851/285 is

LCM of Numerators i.e. for 84,217,851 is 2216004

GCF of denominators i.e. for 42,72,285 is 3.

Thus, LCM of Fractions is 738668.Finally, LCM of Fractions for 84/42, 217/72, 851/285 is 738668.