Given numbers are 762,212,418,756,720

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

The LCM of 762,212,418,756,720 is 21270498480.

Find LCM of 762,212,418,756,720 with Prime Factorization

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

2 x 2 x 3 x 3 x 127 x 53 x 209 x 21 x 20 = 21270498480

Therefore, the lowest common multiple of 762,212,418,756,720 is 21270498480.

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.

762 x 212 x 418 x 756 x 720 = 36755421373440

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.

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

212 : 1, 2, 4, 53, 106, 212

418 : 1, 2, 11, 19, 22, 38, 209, 418

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,212,418,756,720, is 2.

Now, the common factors can be found like this.

762:2x 3x 127

212:2x 2x 53

418:2x 11x 19

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

720:2x 2x 2x 2x 3x 3x 5

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 36755421373440/(2x864)

LCM = 36755421373440/1728

LCM = 21270498480

Thus, we can understand that the LCM of 762,212,418,756,720 is 21270498480.

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

• LCM of 209, 437, 387, 828, 677
• LCM of 493, 292, 644, 404, 934
• LCM of 984, 567, 925, 601, 325
• LCM of 128, 179, 836, 552, 402
• LCM of 636, 979, 662, 222, 313

1. What is the LCM of 762, 212, 418, 756, 720?

Answer: LCM of 762, 212, 418, 756, 720 is 21270498480.

2. How to calculate the LCM of 762, 212, 418, 756, 720?

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 762, 212, 418, 756, 720.

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}.