Least Common Multiple of 741/66, 4463/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 741/66, 4463/483 quickly i.e. 1102361 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/66, 4463/483 is 1102361.

LCM(741/66, 4463/483) = 1102361

LCM of 741/66, 4463/483

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 741/66,4463/483

Given numbers are 741/66,4463/483

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 741,4463

Least Common Multiple of Numerators i.e. LCM of 741,4463 is 3307083.

GCF of Denominators means GCF of 66,483 as per the given fractions.

GCF of 66,483 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,4463

LCM of Fractions 741/66,4463/483 is 1102361

Given numbers has no common factors except 1. So, there LCM is their product i.e 3307083

Least Common Multiple of 741,4463 with GCF Formula

Least Common Multiple of 741,4463 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 741,4463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,4463) = 1

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

GCF(741,4463) x common factors =1 x 1 = 1

LCM(741,4463) = ( 741 × 4463 ) / 1

LCM(741,4463) = 3307083 / 1

LCM(741,4463) = 3307083


Lets's calculate GCF of 66,483

3 66, 483
22, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3307083/3

Therefore the LCM of Fractions 741/66,4463/483 is 1102361

Greatest Common Factor of 66,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,483 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 66,483 . The biggest common factor number is the GCF number.
So the greatest common factor 66,483 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 741/66, 4463/483

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 741/66, 4463/483?

Answer: LCM of Numerators as per given numbers 741/66, 4463/483 is

LCM of Numerators i.e. for 741,4463 is 3307083

GCF of denominators i.e. for 66,483 is 3.

Thus, LCM of Fractions is 1102361.Finally, LCM of Fractions for 741/66, 4463/483 is 1102361.