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LCM of 433, 589, 270, 551, 633

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 433, 589, 270, 551, 633 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 433, 589, 270, 551, 633. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 433,589,270,551,633

Given numbers are 433,589,270,551,633

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 433,589,270,551,633 is 421354278810.

Find LCM of 433,589,270,551,633 with Prime Factorization


3 433, 589, 270, 551, 633
19 433, 589, 90, 551, 211
433, 31, 90, 29, 211

Multiply the prime numbers at the bottom and the left side.

3 x 19 x 433 x 31 x 90 x 29 x 211 = 421354278810

Therefore, the lowest common multiple of 433,589,270,551,633 is 421354278810.

LCM Formula to Find Lowest Common Multiple of 433,589,270,551,633

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

433 x 589 x 270 x 551 x 633 = 24017193892170

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

433 : 1, 433

589 : 1, 19, 31, 589

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

551 : 1, 19, 29, 551

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,589,270,551,633, is 1.

Now, the common factors can be found like this.

433:433

589:19x 31

270:2x 3x 3x 3x 5

551:19x 29

633:3x 211

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 19 = 57

Therefore, the value for common factors is 57.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 24017193892170/(1x57)

LCM = 24017193892170/57

LCM = 421354278810

Thus, we can understand that the LCM of 433,589,270,551,633 is 421354278810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 433, 589, 270, 551, 633

1. What is the LCM of 433, 589, 270, 551, 633?

Answer: LCM of 433, 589, 270, 551, 633 is 421354278810.

2. How to calculate the LCM of 433, 589, 270, 551, 633?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 433, 589, 270, 551, 633.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.