Given numbers are 460,136,607,949

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

The LCM of 460,136,607,949 is 9009312520.

Find LCM of 460,136,607,949 with Prime Factorization

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

2 x 2 x 115 x 34 x 607 x 949 = 9009312520

Therefore, the lowest common multiple of 460,136,607,949 is 9009312520.

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 136 x 607 x 949 = 36037250080

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

607 : 1, 607

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,136,607,949, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

136:2x 2x 2x 17

607:607

949:13x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 36037250080/(1x4)

LCM = 36037250080/4

LCM = 9009312520

Thus, we can understand that the LCM of 460,136,607,949 is 9009312520.

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

• LCM of 397, 645, 326, 307
• LCM of 249, 563, 968, 256
• LCM of 806, 886, 657, 792
• LCM of 514, 550, 160, 666
• LCM of 764, 221, 678, 993

1. What is the LCM of 460, 136, 607, 949?

Answer: LCM of 460, 136, 607, 949 is 9009312520.

2. How to calculate the LCM of 460, 136, 607, 949?

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, 136, 607, 949.

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}.