Least Common Multiple of 82/46, 47/69, 463/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/46, 47/69, 463/944 quickly i.e. 1784402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/46, 47/69, 463/944 is 1784402.

LCM(82/46, 47/69, 463/944) = 1784402

LCM of 82/46, 47/69, 463/944

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 82/46,47/69,463/944

Given numbers are 82/46,47/69,463/944

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 82,47,463

Least Common Multiple of Numerators i.e. LCM of 82,47,463 is 1784402.

GCF of Denominators means GCF of 46,69,944 as per the given fractions.

GCF of 46,69,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,47,463

LCM of Fractions 82/46,47/69,463/944 is 1784402

Given numbers has no common factors except 1. So, there LCM is their product i.e 1784402

Least Common Multiple of 82,47,463 with GCF Formula

Least Common Multiple of 82,47,463 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 82,47,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,47,463) = 1

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

GCF(82,47,463) x common factors =1 x 1 = 1

LCM(82,47,463) = ( 82 × 47 × 463 ) / 1

LCM(82,47,463) = 1784402 / 1

LCM(82,47,463) = 1784402


Lets's calculate GCF of 46,69,944

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1784402/1

Therefore the LCM of Fractions 82/46,47/69,463/944 is 1784402

Greatest Common Factor of 46,69,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,69,944 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 46,69,944 . The biggest common factor number is the GCF number.
So the greatest common factor 46,69,944 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 82/46, 47/69, 463/944

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 82/46, 47/69, 463/944?

Answer: LCM of Numerators as per given numbers 82/46, 47/69, 463/944 is

LCM of Numerators i.e. for 82,47,463 is 1784402

GCF of denominators i.e. for 46,69,944 is 1.

Thus, LCM of Fractions is 1784402.Finally, LCM of Fractions for 82/46, 47/69, 463/944 is 1784402.