Given numbers are 460,526,159,507

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

The LCM of 460,526,159,507 is 3250853580.

Find LCM of 460,526,159,507 with Prime Factorization

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

2 x 3 x 230 x 263 x 53 x 169 = 3250853580

Therefore, the lowest common multiple of 460,526,159,507 is 3250853580.

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 526 x 159 x 507 = 19505121480

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

526 : 1, 2, 263, 526

159 : 1, 3, 53, 159

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,526,159,507, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

526:2x 263

159:3x 53

507:3x 13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 19505121480/(1x6)

LCM = 19505121480/6

LCM = 3250853580

Thus, we can understand that the LCM of 460,526,159,507 is 3250853580.

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

• LCM of 610, 364, 517, 176
• LCM of 337, 217, 759, 488
• LCM of 506, 227, 407, 786
• LCM of 967, 630, 480, 994
• LCM of 495, 591, 765, 106

1. What is the LCM of 460, 526, 159, 507?

Answer: LCM of 460, 526, 159, 507 is 3250853580.

2. How to calculate the LCM of 460, 526, 159, 507?

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, 526, 159, 507.

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}.