Given numbers are 624,852,456,440,471

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

The LCM of 624,852,456,440,471 is 7268735760.

Find LCM of 624,852,456,440,471 with Prime Factorization

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

2 x 2 x 2 x 3 x 26 x 71 x 19 x 55 x 157 = 7268735760

Therefore, the lowest common multiple of 624,852,456,440,471 is 7268735760.

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.

624 x 852 x 456 x 440 x 471 = 50241501573120

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,852,456,440,471, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

852:2x 2x 3x 71

456:2x 2x 2x 3x 19

440:2x 2x 2x 5x 11

471:3x 157

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 2x 3x 3x 3 = 6912

Therefore, the value for common factors is 6912.

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 = 50241501573120/(1x6912)

LCM = 50241501573120/6912

LCM = 7268735760

Thus, we can understand that the LCM of 624,852,456,440,471 is 7268735760.

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

• LCM of 620, 885, 137, 460, 724
• LCM of 648, 109, 248, 316, 574
• LCM of 769, 296, 218, 941, 609
• LCM of 728, 199, 342, 117, 229
• LCM of 907, 630, 703, 738, 425

1. What is the LCM of 624, 852, 456, 440, 471?

Answer: LCM of 624, 852, 456, 440, 471 is 7268735760.

2. How to calculate the LCM of 624, 852, 456, 440, 471?

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 624, 852, 456, 440, 471.

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}.