Least Common Multiple of 74/83, 410/23, 449/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/83, 410/23, 449/633 quickly i.e. 6811330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/83, 410/23, 449/633 is 6811330.

LCM(74/83, 410/23, 449/633) = 6811330

LCM of 74/83, 410/23, 449/633

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 74/83,410/23,449/633

Given numbers are 74/83,410/23,449/633

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 74,410,449

Least Common Multiple of Numerators i.e. LCM of 74,410,449 is 6811330.

GCF of Denominators means GCF of 83,23,633 as per the given fractions.

GCF of 83,23,633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,410,449

LCM of Fractions 74/83,410/23,449/633 is 6811330

2 74, 410, 449
37, 205, 449

∴ So the LCM of the given numbers is 2 x 37 x 205 x 449 = 6811330

Least Common Multiple of 74,410,449 with GCF Formula

Least Common Multiple of 74,410,449 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 74,410,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,410,449) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,410,449) x common factors =1 x 2 = 2

LCM(74,410,449) = ( 74 × 410 × 449 ) / 2

LCM(74,410,449) = 13622660 / 2

LCM(74,410,449) = 6811330


Lets's calculate GCF of 83,23,633

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6811330/1

Therefore the LCM of Fractions 74/83,410/23,449/633 is 6811330

Greatest Common Factor of 83,23,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,23,633 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 83,23,633 . The biggest common factor number is the GCF number.
So the greatest common factor 83,23,633 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 74/83, 410/23, 449/633

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 74/83, 410/23, 449/633?

Answer: LCM of Numerators as per given numbers 74/83, 410/23, 449/633 is

LCM of Numerators i.e. for 74,410,449 is 6811330

GCF of denominators i.e. for 83,23,633 is 1.

Thus, LCM of Fractions is 6811330.Finally, LCM of Fractions for 74/83, 410/23, 449/633 is 6811330.