Least Common Multiple of 45/805, 74/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/805, 74/966 quickly i.e. 3330/161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/805, 74/966 is 3330/161.

LCM(45/805, 74/966) = 3330/161

LCM of 45/805, 74/966

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 45/805,74/966

Given numbers are 45/805,74/966

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 45,74

Least Common Multiple of Numerators i.e. LCM of 45,74 is 3330.

GCF of Denominators means GCF of 805,966 as per the given fractions.

GCF of 805,966 is 161 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,74

LCM of Fractions 45/805,74/966 is 3330/161

Given numbers has no common factors except 1. So, there LCM is their product i.e 3330

Least Common Multiple of 45,74 with GCF Formula

Least Common Multiple of 45,74 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 45,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,74) = 1

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

GCF(45,74) x common factors =1 x 1 = 1

LCM(45,74) = ( 45 × 74 ) / 1

LCM(45,74) = 3330 / 1

LCM(45,74) = 3330


Lets's calculate GCF of 805,966

7 805, 966
23 115, 138
5, 6

∴ So the GCF of the given numbers is 7 x 23 = 161

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3330/161

Therefore the LCM of Fractions 45/805,74/966 is 3330/161

Greatest Common Factor of 805,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,966 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 805,966 . The biggest common factor number is the GCF number.
So the greatest common factor 805,966 is 161.


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 45/805, 74/966

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 45/805, 74/966?

Answer: LCM of Numerators as per given numbers 45/805, 74/966 is

LCM of Numerators i.e. for 45,74 is 3330

GCF of denominators i.e. for 805,966 is 161.

Thus, LCM of Fractions is 3330/161.Finally, LCM of Fractions for 45/805, 74/966 is 3330/161.