Given numbers are 916,812,952,566,756

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

The LCM of 916,812,952,566,756 is 48308174712.

Find LCM of 916,812,952,566,756 with Prime Factorization

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

2 x 2 x 7 x 229 x 29 x 34 x 283 x 27 = 48308174712

Therefore, the lowest common multiple of 916,812,952,566,756 is 48308174712.

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.

916 x 812 x 952 x 566 x 756 = 302988871793664

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.

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

566 : 1, 2, 283, 566

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,812,952,566,756, is 2.

Now, the common factors can be found like this.

916:2x 2x 229

812:2x 2x 7x 29

952:2x 2x 2x 7x 17

566:2x 283

756:2x 2x 3x 3x 3x 7

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 2x 2x 7x 7 = 3136

Therefore, the value for common factors is 3136.

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 = 302988871793664/(2x3136)

LCM = 302988871793664/6272

LCM = 48308174712

Thus, we can understand that the LCM of 916,812,952,566,756 is 48308174712.

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

• LCM of 839, 580, 236, 311, 268
• LCM of 613, 368, 309, 571, 977
• LCM of 375, 843, 388, 990, 358
• LCM of 137, 712, 172, 478, 705
• LCM of 486, 615, 378, 205, 952

1. What is the LCM of 916, 812, 952, 566, 756?

Answer: LCM of 916, 812, 952, 566, 756 is 48308174712.

2. How to calculate the LCM of 916, 812, 952, 566, 756?

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 916, 812, 952, 566, 756.

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}.