Given numbers are 456,514,906,372,762

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

The LCM of 456,514,906,372,762 is 69669120504.

Find LCM of 456,514,906,372,762 with Prime Factorization

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

2 x 2 x 3 x 38 x 257 x 151 x 31 x 127 = 69669120504

Therefore, the lowest common multiple of 456,514,906,372,762 is 69669120504.

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 514 x 906 x 372 x 762 = 60194120115456

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

514 : 1, 2, 257, 514

906 : 1, 2, 3, 6, 151, 302, 453, 906

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

762 : 1, 2, 3, 6, 127, 254, 381, 762

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,514,906,372,762, is 2.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

514:2x 257

906:2x 3x 151

372:2x 2x 3x 31

762:2x 3x 127

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 3 = 432

Therefore, the value for common factors is 432.

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 = 60194120115456/(2x432)

LCM = 60194120115456/864

LCM = 69669120504

Thus, we can understand that the LCM of 456,514,906,372,762 is 69669120504.

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

• LCM of 783, 186, 744, 127, 222
• LCM of 287, 529, 503, 687, 495
• LCM of 554, 197, 691, 584, 430
• LCM of 926, 836, 985, 402, 959
• LCM of 820, 265, 332, 997, 620

1. What is the LCM of 456, 514, 906, 372, 762?

Answer: LCM of 456, 514, 906, 372, 762 is 69669120504.

2. How to calculate the LCM of 456, 514, 906, 372, 762?

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, 514, 906, 372, 762.

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}.