Least Common Multiple of 993/46, 598/7275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 993/46, 598/7275 quickly i.e. 593814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 993/46, 598/7275 is 593814.

LCM(993/46, 598/7275) = 593814

LCM of 993/46, 598/7275

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 993/46,598/7275

Given numbers are 993/46,598/7275

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 993,598

Least Common Multiple of Numerators i.e. LCM of 993,598 is 593814.

GCF of Denominators means GCF of 46,7275 as per the given fractions.

GCF of 46,7275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 993,598

LCM of Fractions 993/46,598/7275 is 593814

Given numbers has no common factors except 1. So, there LCM is their product i.e 593814

Least Common Multiple of 993,598 with GCF Formula

Least Common Multiple of 993,598 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 993,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,598) = 1

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

GCF(993,598) x common factors =1 x 1 = 1

LCM(993,598) = ( 993 × 598 ) / 1

LCM(993,598) = 593814 / 1

LCM(993,598) = 593814


Lets's calculate GCF of 46,7275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 593814/1

Therefore the LCM of Fractions 993/46,598/7275 is 593814

Greatest Common Factor of 46,7275 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,7275 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 7275

List of positive integer factors of 7275 that divides 7275 without a remainder.

1,3,5,15,25,75,97,291,485,1455,2425,7275

Greatest Common Factor

We found the factors 46,7275 . The biggest common factor number is the GCF number.
So the greatest common factor 46,7275 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 993/46, 598/7275

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 993/46, 598/7275?

Answer: LCM of Numerators as per given numbers 993/46, 598/7275 is

LCM of Numerators i.e. for 993,598 is 593814

GCF of denominators i.e. for 46,7275 is 1.

Thus, LCM of Fractions is 593814.Finally, LCM of Fractions for 993/46, 598/7275 is 593814.