Given numbers are 728,436,564,139,252

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

The LCM of 728,436,564,139,252 is 4665659544.

Find LCM of 728,436,564,139,252 with Prime Factorization

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

2 x 2 x 3 x 7 x 26 x 109 x 47 x 139 x 3 = 4665659544

Therefore, the lowest common multiple of 728,436,564,139,252 is 4665659544.

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.

728 x 436 x 564 x 139 x 252 = 6270646427136

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.

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

436 : 1, 2, 4, 109, 218, 436

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

139 : 1, 139

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 728,436,564,139,252, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

436:2x 2x 109

564:2x 2x 3x 47

139:139

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 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 6270646427136/(1x1344)

LCM = 6270646427136/1344

LCM = 4665659544

Thus, we can understand that the LCM of 728,436,564,139,252 is 4665659544.

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

• LCM of 470, 621, 178, 733, 874
• LCM of 184, 741, 121, 316, 233
• LCM of 884, 380, 939, 468, 759
• LCM of 314, 262, 915, 402, 148
• LCM of 825, 650, 362, 744, 102

1. What is the LCM of 728, 436, 564, 139, 252?

Answer: LCM of 728, 436, 564, 139, 252 is 4665659544.

2. How to calculate the LCM of 728, 436, 564, 139, 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 728, 436, 564, 139, 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}.