Least Common Multiple of 535/590, 9822/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 535/590, 9822/992 quickly i.e. 2627385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 535/590, 9822/992 is 2627385.

LCM(535/590, 9822/992) = 2627385

LCM of 535/590, 9822/992

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 535/590,9822/992

Given numbers are 535/590,9822/992

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 535,9822

Least Common Multiple of Numerators i.e. LCM of 535,9822 is 5254770.

GCF of Denominators means GCF of 590,992 as per the given fractions.

GCF of 590,992 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 535,9822

LCM of Fractions 535/590,9822/992 is 2627385

Given numbers has no common factors except 1. So, there LCM is their product i.e 5254770

Least Common Multiple of 535,9822 with GCF Formula

Least Common Multiple of 535,9822 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 535,9822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,9822) = 1

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

GCF(535,9822) x common factors =1 x 1 = 1

LCM(535,9822) = ( 535 × 9822 ) / 1

LCM(535,9822) = 5254770 / 1

LCM(535,9822) = 5254770


Lets's calculate GCF of 590,992

2 590, 992
295, 496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5254770/2

Therefore the LCM of Fractions 535/590,9822/992 is 2627385

Greatest Common Factor of 590,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,992 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 590,992 . The biggest common factor number is the GCF number.
So the greatest common factor 590,992 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 535/590, 9822/992

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 535/590, 9822/992?

Answer: LCM of Numerators as per given numbers 535/590, 9822/992 is

LCM of Numerators i.e. for 535,9822 is 5254770

GCF of denominators i.e. for 590,992 is 2.

Thus, LCM of Fractions is 2627385.Finally, LCM of Fractions for 535/590, 9822/992 is 2627385.