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LCM of 353, 353, 590, 408, 782

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


Find the LCM of 353, 353, 590, 408, 782 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 353, 353, 590, 408, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 353,353,590,408,782

Given numbers are 353,353,590,408,782

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

The LCM of 353,353,590,408,782 is 977202840.

Find LCM of 353,353,590,408,782 with Prime Factorization


2 353, 353, 590, 408, 782
17 353, 353, 295, 204, 391
353 353, 353, 295, 12, 23
1, 1, 295, 12, 23

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

2 x 17 x 353 x 1 x 1 x 295 x 12 x 23 = 977202840

Therefore, the lowest common multiple of 353,353,590,408,782 is 977202840.

LCM Formula to Find Lowest Common Multiple of 353,353,590,408,782

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.

353 x 353 x 590 x 408 x 782 = 23456776971360

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.

353 : 1, 353

353 : 1, 353

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,353,590,408,782, is 1.

Now, the common factors can be found like this.

353:353

353:353

590:2x 5x 59

408:2x 2x 2x 3x 17

782:2x 17x 23

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 17x 353 = 24004

Therefore, the value for common factors is 24004.

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 = 23456776971360/(1x24004)

LCM = 23456776971360/24004

LCM = 977202840

Thus, we can understand that the LCM of 353,353,590,408,782 is 977202840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 353, 353, 590, 408, 782

1. What is the LCM of 353, 353, 590, 408, 782?

Answer: LCM of 353, 353, 590, 408, 782 is 977202840.

2. How to calculate the LCM of 353, 353, 590, 408, 782?

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 353, 353, 590, 408, 782.

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}.