Least Common Multiple of 1605/797, 1056/2262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1605/797, 1056/2262 quickly i.e. 564960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1605/797, 1056/2262 is 564960.

LCM(1605/797, 1056/2262) = 564960

LCM of 1605/797, 1056/2262

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 1605/797,1056/2262

Given numbers are 1605/797,1056/2262

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 1605,1056

Least Common Multiple of Numerators i.e. LCM of 1605,1056 is 564960.

GCF of Denominators means GCF of 797,2262 as per the given fractions.

GCF of 797,2262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1605,1056

LCM of Fractions 1605/797,1056/2262 is 564960

3 1605, 1056
535, 352

∴ So the LCM of the given numbers is 3 x 535 x 352 = 564960

Least Common Multiple of 1605,1056 with GCF Formula

Least Common Multiple of 1605,1056 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 1605,1056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1605,1056) = 3

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

GCF(1605,1056) x common factors =3 x 1 = 3

LCM(1605,1056) = ( 1605 × 1056 ) / 3

LCM(1605,1056) = 1694880 / 3

LCM(1605,1056) = 564960


Lets's calculate GCF of 797,2262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 564960/1

Therefore the LCM of Fractions 1605/797,1056/2262 is 564960

Greatest Common Factor of 797,2262 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,2262 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 2262

List of positive integer factors of 2262 that divides 2262 without a remainder.

1,2,3,6,13,26,29,39,58,78,87,174,377,754,1131,2262

Greatest Common Factor

We found the factors 797,2262 . The biggest common factor number is the GCF number.
So the greatest common factor 797,2262 is 1.


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 1605/797, 1056/2262

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 1605/797, 1056/2262?

Answer: LCM of Numerators as per given numbers 1605/797, 1056/2262 is

LCM of Numerators i.e. for 1605,1056 is 564960

GCF of denominators i.e. for 797,2262 is 1.

Thus, LCM of Fractions is 564960.Finally, LCM of Fractions for 1605/797, 1056/2262 is 564960.