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LCM of 790, 391, 458, 782

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


Find the LCM of 790, 391, 458, 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 790, 391, 458, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 790,391,458,782

Given numbers are 790,391,458,782

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

The LCM of 790,391,458,782 is 70735810.

Find LCM of 790,391,458,782 with Prime Factorization


2 790, 391, 458, 782
17 395, 391, 229, 391
23 395, 23, 229, 23
395, 1, 229, 1

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

2 x 17 x 23 x 395 x 1 x 229 x 1 = 70735810

Therefore, the lowest common multiple of 790,391,458,782 is 70735810.

LCM Formula to Find Lowest Common Multiple of 790,391,458,782

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.

790 x 391 x 458 x 782 = 110630806840

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

391 : 1, 17, 23, 391

458 : 1, 2, 229, 458

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 790,391,458,782, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

391:17x 23

458:2x 229

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 23 = 1564

Therefore, the value for common factors is 1564.

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 = 110630806840/(1x1564)

LCM = 110630806840/1564

LCM = 70735810

Thus, we can understand that the LCM of 790,391,458,782 is 70735810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 790, 391, 458, 782

1. What is the LCM of 790, 391, 458, 782?

Answer: LCM of 790, 391, 458, 782 is 70735810.

2. How to calculate the LCM of 790, 391, 458, 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 790, 391, 458, 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}.