Given numbers are 390,277,396,702,316

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

The LCM of 390,277,396,702,316 is 1689805260.

Find LCM of 390,277,396,702,316 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 5 x 277 x 11 x 3 x 79 = 1689805260

Therefore, the lowest common multiple of 390,277,396,702,316 is 1689805260.

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 277 x 396 x 702 x 316 = 9489946340160

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

277 : 1, 277

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,277,396,702,316, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

277:277

396:2x 2x 3x 3x 11

702:2x 3x 3x 3x 13

316:2x 2x 79

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 2x 2x 3x 3x 3x 13 = 5616

Therefore, the value for common factors is 5616.

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 = 9489946340160/(1x5616)

LCM = 9489946340160/5616

LCM = 1689805260

Thus, we can understand that the LCM of 390,277,396,702,316 is 1689805260.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 993, 608, 631, 720, 891
• LCM of 789, 719, 360, 508, 834
• LCM of 721, 496, 945, 791, 226
• LCM of 297, 544, 662, 568, 441
• LCM of 142, 217, 887, 973, 749

1. What is the LCM of 390, 277, 396, 702, 316?

Answer: LCM of 390, 277, 396, 702, 316 is 1689805260.

2. How to calculate the LCM of 390, 277, 396, 702, 316?

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, 277, 396, 702, 316.

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}.