Least Common Multiple of 1797/533, 1979/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1797/533, 1979/506 quickly i.e. 3556263 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1797/533, 1979/506 is 3556263.

LCM(1797/533, 1979/506) = 3556263

LCM of 1797/533, 1979/506

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 1797/533,1979/506

Given numbers are 1797/533,1979/506

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 1797,1979

Least Common Multiple of Numerators i.e. LCM of 1797,1979 is 3556263.

GCF of Denominators means GCF of 533,506 as per the given fractions.

GCF of 533,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1797,1979

LCM of Fractions 1797/533,1979/506 is 3556263

Given numbers has no common factors except 1. So, there LCM is their product i.e 3556263

Least Common Multiple of 1797,1979 with GCF Formula

Least Common Multiple of 1797,1979 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 1797,1979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1797,1979) = 1

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

GCF(1797,1979) x common factors =1 x 1 = 1

LCM(1797,1979) = ( 1797 × 1979 ) / 1

LCM(1797,1979) = 3556263 / 1

LCM(1797,1979) = 3556263


Lets's calculate GCF of 533,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3556263/1

Therefore the LCM of Fractions 1797/533,1979/506 is 3556263

Greatest Common Factor of 533,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,506 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 533,506 . The biggest common factor number is the GCF number.
So the greatest common factor 533,506 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1797/533, 1979/506

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 1797/533, 1979/506?

Answer: LCM of Numerators as per given numbers 1797/533, 1979/506 is

LCM of Numerators i.e. for 1797,1979 is 3556263

GCF of denominators i.e. for 533,506 is 1.

Thus, LCM of Fractions is 3556263.Finally, LCM of Fractions for 1797/533, 1979/506 is 3556263.