Given numbers are 732,460,142,418

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

The LCM of 732,460,142,418 is 1249147020.

Find LCM of 732,460,142,418 with Prime Factorization

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

2 x 2 x 183 x 115 x 71 x 209 = 1249147020

Therefore, the lowest common multiple of 732,460,142,418 is 1249147020.

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.

732 x 460 x 142 x 418 = 19986352320

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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

142 : 1, 2, 71, 142

418 : 1, 2, 11, 19, 22, 38, 209, 418

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,460,142,418, is 2.

Now, the common factors can be found like this.

732:2x 2x 3x 61

460:2x 2x 5x 23

142:2x 71

418:2x 11x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 19986352320/(2x8)

LCM = 19986352320/16

LCM = 1249147020

Thus, we can understand that the LCM of 732,460,142,418 is 1249147020.

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

• LCM of 995, 237, 840, 582
• LCM of 695, 392, 136, 595
• LCM of 883, 628, 635, 815
• LCM of 387, 182, 474, 735
• LCM of 337, 826, 499, 810

1. What is the LCM of 732, 460, 142, 418?

Answer: LCM of 732, 460, 142, 418 is 1249147020.

2. How to calculate the LCM of 732, 460, 142, 418?

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 732, 460, 142, 418.

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}.