Given numbers are 472,624,107,728

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

The LCM of 472,624,107,728 is 27575184.

Find LCM of 472,624,107,728 with Prime Factorization

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

2 x 2 x 2 x 13 x 59 x 6 x 107 x 7 = 27575184

Therefore, the lowest common multiple of 472,624,107,728 is 27575184.

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.

472 x 624 x 107 x 728 = 22942553088

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.

472 : 1, 2, 4, 8, 59, 118, 236, 472

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

107 : 1, 107

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,624,107,728, is 1.

Now, the common factors can be found like this.

472:2x 2x 2x 59

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

107:107

728:2x 2x 2x 7x 13

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 13 = 832

Therefore, the value for common factors is 832.

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 = 22942553088/(1x832)

LCM = 22942553088/832

LCM = 27575184

Thus, we can understand that the LCM of 472,624,107,728 is 27575184.

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

• LCM of 960, 763, 655, 561
• LCM of 668, 724, 174, 650
• LCM of 461, 683, 196, 380
• LCM of 308, 609, 572, 513
• LCM of 438, 911, 521, 277

1. What is the LCM of 472, 624, 107, 728?

Answer: LCM of 472, 624, 107, 728 is 27575184.

2. How to calculate the LCM of 472, 624, 107, 728?

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 472, 624, 107, 728.

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}.