Given numbers are 987,468,457,762

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

The LCM of 987,468,457,762 is 8936380908.

Find LCM of 987,468,457,762 with Prime Factorization

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

2 x 3 x 329 x 78 x 457 x 127 = 8936380908

Therefore, the lowest common multiple of 987,468,457,762 is 8936380908.

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.

987 x 468 x 457 x 762 = 160854856344

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

457 : 1, 457

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,468,457,762, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

468:2x 2x 3x 3x 13

457:457

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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 160854856344/(1x18)

LCM = 160854856344/18

LCM = 8936380908

Thus, we can understand that the LCM of 987,468,457,762 is 8936380908.

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

• LCM of 778, 680, 303, 785
• LCM of 977, 311, 931, 746
• LCM of 849, 359, 969, 864
• LCM of 126, 196, 323, 626
• LCM of 676, 613, 693, 817

1. What is the LCM of 987, 468, 457, 762?

Answer: LCM of 987, 468, 457, 762 is 8936380908.

2. How to calculate the LCM of 987, 468, 457, 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 987, 468, 457, 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}.