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LCM of 390, 792, 931, 494

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


Find the LCM of 390, 792, 931, 494 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 390, 792, 931, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 390,792,931,494

Given numbers are 390,792,931,494

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

The LCM of 390,792,931,494 is 47927880.

Find LCM of 390,792,931,494 with Prime Factorization


2 390, 792, 931, 494
3 195, 396, 931, 247
13 65, 132, 931, 247
19 5, 132, 931, 19
5, 132, 49, 1

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

2 x 3 x 13 x 19 x 5 x 132 x 49 x 1 = 47927880

Therefore, the lowest common multiple of 390,792,931,494 is 47927880.

LCM Formula to Find Lowest Common Multiple of 390,792,931,494

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.

390 x 792 x 931 x 494 = 142058236320

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

931 : 1, 7, 19, 49, 133, 931

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,792,931,494, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

792:2x 2x 2x 3x 3x 11

931:7x 7x 19

494:2x 13x 19

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 13x 19 = 2964

Therefore, the value for common factors is 2964.

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 = 142058236320/(1x2964)

LCM = 142058236320/2964

LCM = 47927880

Thus, we can understand that the LCM of 390,792,931,494 is 47927880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 390, 792, 931, 494

1. What is the LCM of 390, 792, 931, 494?

Answer: LCM of 390, 792, 931, 494 is 47927880.

2. How to calculate the LCM of 390, 792, 931, 494?

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 390, 792, 931, 494.

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}.