Given numbers are 456,771,374,215,816

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

The LCM of 456,771,374,215,816 is 9423408720.

Find LCM of 456,771,374,215,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 19 x 257 x 11 x 215 x 2 = 9423408720

Therefore, the lowest common multiple of 456,771,374,215,816 is 9423408720.

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.

456 x 771 x 374 x 215 x 816 = 23068504546560

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.

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

771 : 1, 3, 257, 771

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

215 : 1, 5, 43, 215

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,771,374,215,816, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

771:3x 257

374:2x 11x 17

215:5x 43

816:2x 2x 2x 2x 3x 17

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 17 = 2448

Therefore, the value for common factors is 2448.

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 = 23068504546560/(1x2448)

LCM = 23068504546560/2448

LCM = 9423408720

Thus, we can understand that the LCM of 456,771,374,215,816 is 9423408720.

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

• LCM of 750, 780, 937, 950, 775
• LCM of 714, 595, 501, 951, 849
• LCM of 671, 410, 719, 380, 657
• LCM of 169, 839, 275, 947, 385
• LCM of 294, 556, 354, 925, 916

1. What is the LCM of 456, 771, 374, 215, 816?

Answer: LCM of 456, 771, 374, 215, 816 is 9423408720.

2. How to calculate the LCM of 456, 771, 374, 215, 816?

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 456, 771, 374, 215, 816.

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}.