Given numbers are 138,573,528,374,956

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

The LCM of 138,573,528,374,956 is 9424144752.

Find LCM of 138,573,528,374,956 with Prime Factorization

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

2 x 2 x 3 x 11 x 23 x 191 x 4 x 17 x 239 = 9424144752

Therefore, the lowest common multiple of 138,573,528,374,956 is 9424144752.

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.

138 x 573 x 528 x 374 x 956 = 14927845287168

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

573 : 1, 3, 191, 573

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

374 : 1, 2, 11, 17, 22, 34, 187, 374

956 : 1, 2, 4, 239, 478, 956

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,573,528,374,956, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

573:3x 191

528:2x 2x 2x 2x 3x 11

374:2x 11x 17

956:2x 2x 239

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 11 = 1584

Therefore, the value for common factors is 1584.

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 = 14927845287168/(1x1584)

LCM = 14927845287168/1584

LCM = 9424144752

Thus, we can understand that the LCM of 138,573,528,374,956 is 9424144752.

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

• LCM of 538, 274, 409, 229, 601
• LCM of 723, 470, 945, 189, 611
• LCM of 389, 395, 332, 753, 749
• LCM of 736, 289, 609, 957, 117
• LCM of 139, 462, 714, 910, 222

1. What is the LCM of 138, 573, 528, 374, 956?

Answer: LCM of 138, 573, 528, 374, 956 is 9424144752.

2. How to calculate the LCM of 138, 573, 528, 374, 956?

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 138, 573, 528, 374, 956.

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}.