Given numbers are 624,728,214,102

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

The LCM of 624,728,214,102 is 7945392.

Find LCM of 624,728,214,102 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 2 x 7 x 107 x 17 = 7945392

Therefore, the lowest common multiple of 624,728,214,102 is 7945392.

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 728 x 214 x 102 = 9915849216

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

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

214 : 1, 2, 107, 214

102 : 1, 2, 3, 6, 17, 34, 51, 102

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,728,214,102, is 2.

Now, the common factors can be found like this.

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

728:2x 2x 2x 7x 13

214:2x 107

102:2x 3x 17

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 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 9915849216/(2x624)

LCM = 9915849216/1248

LCM = 7945392

Thus, we can understand that the LCM of 624,728,214,102 is 7945392.

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

• LCM of 303, 392, 722, 864
• LCM of 233, 290, 396, 784
• LCM of 323, 510, 886, 993
• LCM of 281, 113, 108, 127
• LCM of 554, 941, 161, 891

1. What is the LCM of 624, 728, 214, 102?

Answer: LCM of 624, 728, 214, 102 is 7945392.

2. How to calculate the LCM of 624, 728, 214, 102?

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, 728, 214, 102.

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}.