Given numbers are 460,528,624,959

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

The LCM of 460,528,624,959 is 756996240.

Find LCM of 460,528,624,959 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 115 x 11 x 13 x 959 = 756996240

Therefore, the lowest common multiple of 460,528,624,959 is 756996240.

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.

460 x 528 x 624 x 959 = 145343278080

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

959 : 1, 7, 137, 959

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,528,624,959, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

528:2x 2x 2x 2x 3x 11

624:2x 2x 2x 2x 3x 13

959:7x 137

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 3 = 192

Therefore, the value for common factors is 192.

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 = 145343278080/(1x192)

LCM = 145343278080/192

LCM = 756996240

Thus, we can understand that the LCM of 460,528,624,959 is 756996240.

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

• LCM of 498, 636, 243, 694
• LCM of 521, 459, 690, 989
• LCM of 981, 309, 941, 862
• LCM of 124, 498, 418, 982
• LCM of 504, 783, 503, 832

1. What is the LCM of 460, 528, 624, 959?

Answer: LCM of 460, 528, 624, 959 is 756996240.

2. How to calculate the LCM of 460, 528, 624, 959?

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 460, 528, 624, 959.

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}.