Least Common Multiple of 3/82, 226/70, 847/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3/82, 226/70, 847/28 quickly i.e. 287133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/82, 226/70, 847/28 is 287133.

LCM(3/82, 226/70, 847/28) = 287133

LCM of 3/82, 226/70, 847/28

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 3/82,226/70,847/28

Given numbers are 3/82,226/70,847/28

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 3,226,847

Least Common Multiple of Numerators i.e. LCM of 3,226,847 is 574266.

GCF of Denominators means GCF of 82,70,28 as per the given fractions.

GCF of 82,70,28 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,226,847

LCM of Fractions 3/82,226/70,847/28 is 287133

Given numbers has no common factors except 1. So, there LCM is their product i.e 574266

Least Common Multiple of 3,226,847 with GCF Formula

Least Common Multiple of 3,226,847 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 3,226,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,226,847) = 1

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

GCF(3,226,847) x common factors =1 x 1 = 1

LCM(3,226,847) = ( 3 × 226 × 847 ) / 1

LCM(3,226,847) = 574266 / 1

LCM(3,226,847) = 574266


Lets's calculate GCF of 82,70,28

2 82, 70, 28
41, 35, 14

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 574266/2

Therefore the LCM of Fractions 3/82,226/70,847/28 is 287133

Greatest Common Factor of 82,70,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,70,28 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors 82,70,28 . The biggest common factor number is the GCF number.
So the greatest common factor 82,70,28 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3/82, 226/70, 847/28

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 3/82, 226/70, 847/28?

Answer: LCM of Numerators as per given numbers 3/82, 226/70, 847/28 is

LCM of Numerators i.e. for 3,226,847 is 574266

GCF of denominators i.e. for 82,70,28 is 2.

Thus, LCM of Fractions is 287133.Finally, LCM of Fractions for 3/82, 226/70, 847/28 is 287133.