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LCM of 441, 798, 217, 680, 590

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


Find the LCM of 441, 798, 217, 680, 590 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 441, 798, 217, 680, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 441,798,217,680,590

Given numbers are 441,798,217,680,590

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

The LCM of 441,798,217,680,590 is 10421129880.

Find LCM of 441,798,217,680,590 with Prime Factorization


2 441, 798, 217, 680, 590
3 441, 399, 217, 340, 295
5 147, 133, 217, 340, 295
7 147, 133, 217, 68, 59
21, 19, 31, 68, 59

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

2 x 3 x 5 x 7 x 21 x 19 x 31 x 68 x 59 = 10421129880

Therefore, the lowest common multiple of 441,798,217,680,590 is 10421129880.

LCM Formula to Find Lowest Common Multiple of 441,798,217,680,590

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.

441 x 798 x 217 x 680 x 590 = 30638121847200

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.

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

217 : 1, 7, 31, 217

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,798,217,680,590, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

798:2x 3x 7x 19

217:7x 31

680:2x 2x 2x 5x 17

590:2x 5x 59

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

2x 2x 3x 5x 7x 7 = 2940

Therefore, the value for common factors is 2940.

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 = 30638121847200/(1x2940)

LCM = 30638121847200/2940

LCM = 10421129880

Thus, we can understand that the LCM of 441,798,217,680,590 is 10421129880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 441, 798, 217, 680, 590

1. What is the LCM of 441, 798, 217, 680, 590?

Answer: LCM of 441, 798, 217, 680, 590 is 10421129880.

2. How to calculate the LCM of 441, 798, 217, 680, 590?

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 441, 798, 217, 680, 590.

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}.