Given numbers are 290,961,589,456,920

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

The LCM of 290,961,589,456,920 is 1461450360.

Find LCM of 290,961,589,456,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 19 x 31 x 29 x 1 x 31 x 3 x 23 = 1461450360

Therefore, the lowest common multiple of 290,961,589,456,920 is 1461450360.

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 961 x 589 x 456 x 920 = 68863540963200

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

961 : 1, 31, 961

589 : 1, 19, 31, 589

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,961,589,456,920, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

961:31x 31

589:19x 31

456:2x 2x 2x 3x 19

920:2x 2x 2x 5x 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 2x 2x 5x 19x 31 = 47120

Therefore, the value for common factors is 47120.

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 = 68863540963200/(1x47120)

LCM = 68863540963200/47120

LCM = 1461450360

Thus, we can understand that the LCM of 290,961,589,456,920 is 1461450360.

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

• LCM of 772, 939, 966, 446, 366
• LCM of 406, 166, 892, 689, 206
• LCM of 766, 355, 401, 607, 163
• LCM of 940, 909, 786, 948, 555
• LCM of 236, 628, 412, 596, 635

1. What is the LCM of 290, 961, 589, 456, 920?

Answer: LCM of 290, 961, 589, 456, 920 is 1461450360.

2. How to calculate the LCM of 290, 961, 589, 456, 920?

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, 961, 589, 456, 920.

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}.