Least Common Multiple of 59/52, 453/17, 463/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/52, 453/17, 463/511 quickly i.e. 12374601 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/52, 453/17, 463/511 is 12374601.

LCM(59/52, 453/17, 463/511) = 12374601

LCM of 59/52, 453/17, 463/511

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 59/52,453/17,463/511

Given numbers are 59/52,453/17,463/511

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 59,453,463

Least Common Multiple of Numerators i.e. LCM of 59,453,463 is 12374601.

GCF of Denominators means GCF of 52,17,511 as per the given fractions.

GCF of 52,17,511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,453,463

LCM of Fractions 59/52,453/17,463/511 is 12374601

Given numbers has no common factors except 1. So, there LCM is their product i.e 12374601

Least Common Multiple of 59,453,463 with GCF Formula

Least Common Multiple of 59,453,463 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 59,453,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,453,463) = 1

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

GCF(59,453,463) x common factors =1 x 1 = 1

LCM(59,453,463) = ( 59 × 453 × 463 ) / 1

LCM(59,453,463) = 12374601 / 1

LCM(59,453,463) = 12374601


Lets's calculate GCF of 52,17,511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12374601/1

Therefore the LCM of Fractions 59/52,453/17,463/511 is 12374601

Greatest Common Factor of 52,17,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,17,511 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 52,17,511 . The biggest common factor number is the GCF number.
So the greatest common factor 52,17,511 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 59/52, 453/17, 463/511

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 59/52, 453/17, 463/511?

Answer: LCM of Numerators as per given numbers 59/52, 453/17, 463/511 is

LCM of Numerators i.e. for 59,453,463 is 12374601

GCF of denominators i.e. for 52,17,511 is 1.

Thus, LCM of Fractions is 12374601.Finally, LCM of Fractions for 59/52, 453/17, 463/511 is 12374601.