Least Common Multiple of 817/52, 633/9502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 817/52, 633/9502 quickly i.e. 517161/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/52, 633/9502 is 517161/2.

LCM(817/52, 633/9502) = 517161/2

LCM of 817/52, 633/9502

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 817/52,633/9502

Given numbers are 817/52,633/9502

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 817,633

Least Common Multiple of Numerators i.e. LCM of 817,633 is 517161.

GCF of Denominators means GCF of 52,9502 as per the given fractions.

GCF of 52,9502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,633

LCM of Fractions 817/52,633/9502 is 517161/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 517161

Least Common Multiple of 817,633 with GCF Formula

Least Common Multiple of 817,633 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 817,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,633) = 1

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

GCF(817,633) x common factors =1 x 1 = 1

LCM(817,633) = ( 817 × 633 ) / 1

LCM(817,633) = 517161 / 1

LCM(817,633) = 517161


Lets's calculate GCF of 52,9502

2 52, 9502
26, 4751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517161/2

Therefore the LCM of Fractions 817/52,633/9502 is 517161/2

Greatest Common Factor of 52,9502 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,9502 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 9502

List of positive integer factors of 9502 that divides 9502 without a remainder.

1,2,4751,9502

Greatest Common Factor

We found the factors 52,9502 . The biggest common factor number is the GCF number.
So the greatest common factor 52,9502 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 817/52, 633/9502

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 817/52, 633/9502?

Answer: LCM of Numerators as per given numbers 817/52, 633/9502 is

LCM of Numerators i.e. for 817,633 is 517161

GCF of denominators i.e. for 52,9502 is 2.

Thus, LCM of Fractions is 517161/2.Finally, LCM of Fractions for 817/52, 633/9502 is 517161/2.