Given numbers are 732,585,314,630

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

The LCM of 732,585,314,630 is 156871260.

Find LCM of 732,585,314,630 with Prime Factorization

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

2 x 3 x 3 x 5 x 122 x 13 x 157 x 7 = 156871260

Therefore, the lowest common multiple of 732,585,314,630 is 156871260.

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 585 x 314 x 630 = 84710480400

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

314 : 1, 2, 157, 314

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,585,314,630, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

585:3x 3x 5x 13

314:2x 157

630:2x 3x 3x 5x 7

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 3x 3x 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 84710480400/(1x540)

LCM = 84710480400/540

LCM = 156871260

Thus, we can understand that the LCM of 732,585,314,630 is 156871260.

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

• LCM of 226, 720, 361, 683
• LCM of 343, 433, 414, 237
• LCM of 546, 296, 835, 348
• LCM of 772, 141, 417, 252
• LCM of 104, 734, 992, 214

1. What is the LCM of 732, 585, 314, 630?

Answer: LCM of 732, 585, 314, 630 is 156871260.

2. How to calculate the LCM of 732, 585, 314, 630?

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, 585, 314, 630.

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}.