Given numbers are 290,916,658,742,616

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

The LCM of 290,916,658,742,616 is 50951611480.

Find LCM of 290,916,658,742,616 with Prime Factorization

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

2 x 2 x 7 x 145 x 229 x 47 x 53 x 22 = 50951611480

Therefore, the lowest common multiple of 290,916,658,742,616 is 50951611480.

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.

290 x 916 x 658 x 742 x 616 = 79892126800640

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

916 : 1, 2, 4, 229, 458, 916

658 : 1, 2, 7, 14, 47, 94, 329, 658

742 : 1, 2, 7, 14, 53, 106, 371, 742

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,916,658,742,616, is 2.

Now, the common factors can be found like this.

290:2x 5x 29

916:2x 2x 229

658:2x 7x 47

742:2x 7x 53

616:2x 2x 2x 7x 11

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 79892126800640/(2x784)

LCM = 79892126800640/1568

LCM = 50951611480

Thus, we can understand that the LCM of 290,916,658,742,616 is 50951611480.

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

• LCM of 674, 282, 907, 543, 662
• LCM of 372, 360, 331, 392, 864
• LCM of 611, 998, 518, 951, 548
• LCM of 536, 999, 696, 424, 190
• LCM of 566, 660, 463, 134, 440

1. What is the LCM of 290, 916, 658, 742, 616?

Answer: LCM of 290, 916, 658, 742, 616 is 50951611480.

2. How to calculate the LCM of 290, 916, 658, 742, 616?

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 290, 916, 658, 742, 616.

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}.