Given numbers are 460,124,524,720

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

The LCM of 460,124,524,720 is 67250160.

Find LCM of 460,124,524,720 with Prime Factorization

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

2 x 2 x 5 x 23 x 31 x 131 x 36 = 67250160

Therefore, the lowest common multiple of 460,124,524,720 is 67250160.

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 124 x 524 x 720 = 21520051200

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

124 : 1, 2, 4, 31, 62, 124

524 : 1, 2, 4, 131, 262, 524

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,124,524,720, is 4.

Now, the common factors can be found like this.

460:2x 2x 5x 23

124:2x 2x 31

524:2x 2x 131

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 5 = 80

Therefore, the value for common factors is 80.

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 = 21520051200/(4x80)

LCM = 21520051200/320

LCM = 67250160

Thus, we can understand that the LCM of 460,124,524,720 is 67250160.

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

• LCM of 422, 594, 526, 791
• LCM of 856, 990, 371, 722
• LCM of 676, 967, 482, 669
• LCM of 781, 411, 959, 877
• LCM of 166, 702, 452, 304

1. What is the LCM of 460, 124, 524, 720?

Answer: LCM of 460, 124, 524, 720 is 67250160.

2. How to calculate the LCM of 460, 124, 524, 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 460, 124, 524, 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}.