Given numbers are 592,428,273,648,252

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

The LCM of 592,428,273,648,252 is 466908624.

Find LCM of 592,428,273,648,252 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 74 x 107 x 13 x 9 x 1 = 466908624

Therefore, the lowest common multiple of 592,428,273,648,252 is 466908624.

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.

592 x 428 x 273 x 648 x 252 = 11295453431808

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

428 : 1, 2, 4, 107, 214, 428

273 : 1, 3, 7, 13, 21, 39, 91, 273

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,428,273,648,252, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

428:2x 2x 107

273:3x 7x 13

648:2x 2x 2x 3x 3x 3x 3

252:2x 2x 3x 3x 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 2x 2x 2x 2x 2x 3x 3x 3x 7 = 24192

Therefore, the value for common factors is 24192.

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 = 11295453431808/(1x24192)

LCM = 11295453431808/24192

LCM = 466908624

Thus, we can understand that the LCM of 592,428,273,648,252 is 466908624.

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

• LCM of 564, 464, 707, 210, 557
• LCM of 434, 611, 866, 858, 293
• LCM of 872, 698, 297, 265, 382
• LCM of 388, 234, 765, 841, 109
• LCM of 894, 329, 225, 723, 235

1. What is the LCM of 592, 428, 273, 648, 252?

Answer: LCM of 592, 428, 273, 648, 252 is 466908624.

2. How to calculate the LCM of 592, 428, 273, 648, 252?

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 592, 428, 273, 648, 252.

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}.