Least Common Multiple of 12/22, 817/50, 271/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 12/22, 817/50, 271/662 quickly i.e. 1328442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/22, 817/50, 271/662 is 1328442.

LCM(12/22, 817/50, 271/662) = 1328442

LCM of 12/22, 817/50, 271/662

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 12/22,817/50,271/662

Given numbers are 12/22,817/50,271/662

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 12,817,271

Least Common Multiple of Numerators i.e. LCM of 12,817,271 is 2656884.

GCF of Denominators means GCF of 22,50,662 as per the given fractions.

GCF of 22,50,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,817,271

LCM of Fractions 12/22,817/50,271/662 is 1328442

Given numbers has no common factors except 1. So, there LCM is their product i.e 2656884

Least Common Multiple of 12,817,271 with GCF Formula

Least Common Multiple of 12,817,271 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 12,817,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,817,271) = 1

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

GCF(12,817,271) x common factors =1 x 1 = 1

LCM(12,817,271) = ( 12 × 817 × 271 ) / 1

LCM(12,817,271) = 2656884 / 1

LCM(12,817,271) = 2656884


Lets's calculate GCF of 22,50,662

2 22, 50, 662
11, 25, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2656884/2

Therefore the LCM of Fractions 12/22,817/50,271/662 is 1328442

Greatest Common Factor of 22,50,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,50,662 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 22,50,662 . The biggest common factor number is the GCF number.
So the greatest common factor 22,50,662 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 12/22, 817/50, 271/662

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 12/22, 817/50, 271/662?

Answer: LCM of Numerators as per given numbers 12/22, 817/50, 271/662 is

LCM of Numerators i.e. for 12,817,271 is 2656884

GCF of denominators i.e. for 22,50,662 is 2.

Thus, LCM of Fractions is 1328442.Finally, LCM of Fractions for 12/22, 817/50, 271/662 is 1328442.