Least Common Multiple of 22/414, 498/733, 434/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/414, 498/733, 434/469 quickly i.e. 1188726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/414, 498/733, 434/469 is 1188726.

LCM(22/414, 498/733, 434/469) = 1188726

LCM of 22/414, 498/733, 434/469

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 22/414,498/733,434/469

Given numbers are 22/414,498/733,434/469

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 22,498,434

Least Common Multiple of Numerators i.e. LCM of 22,498,434 is 1188726.

GCF of Denominators means GCF of 414,733,469 as per the given fractions.

GCF of 414,733,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,498,434

LCM of Fractions 22/414,498/733,434/469 is 1188726

2 22, 498, 434
11, 249, 217

∴ So the LCM of the given numbers is 2 x 11 x 249 x 217 = 1188726

Least Common Multiple of 22,498,434 with GCF Formula

Least Common Multiple of 22,498,434 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 22,498,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,498,434) = 2

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

GCF(22,498,434) x common factors =2 x 2 = 4

LCM(22,498,434) = ( 22 × 498 × 434 ) / 4

LCM(22,498,434) = 4754904 / 4

LCM(22,498,434) = 1188726


Lets's calculate GCF of 414,733,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1188726/1

Therefore the LCM of Fractions 22/414,498/733,434/469 is 1188726

Greatest Common Factor of 414,733,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,733,469 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 414,733,469 . The biggest common factor number is the GCF number.
So the greatest common factor 414,733,469 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 22/414, 498/733, 434/469

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 22/414, 498/733, 434/469?

Answer: LCM of Numerators as per given numbers 22/414, 498/733, 434/469 is

LCM of Numerators i.e. for 22,498,434 is 1188726

GCF of denominators i.e. for 414,733,469 is 1.

Thus, LCM of Fractions is 1188726.Finally, LCM of Fractions for 22/414, 498/733, 434/469 is 1188726.