Given numbers are 628,912,133,874,252

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

The LCM of 628,912,133,874,252 is 69157872.

Find LCM of 628,912,133,874,252 with Prime Factorization

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

2 x 2 x 3 x 7 x 19 x 157 x 4 x 1 x 23 x 3 = 69157872

Therefore, the lowest common multiple of 628,912,133,874,252 is 69157872.

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.

628 x 912 x 133 x 874 x 252 = 16777146484224

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.

628 : 1, 2, 4, 157, 314, 628

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

133 : 1, 7, 19, 133

874 : 1, 2, 19, 23, 38, 46, 437, 874

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 628,912,133,874,252, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

912:2x 2x 2x 2x 3x 19

133:7x 19

874:2x 19x 23

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 3x 7x 19x 19 = 242592

Therefore, the value for common factors is 242592.

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 = 16777146484224/(1x242592)

LCM = 16777146484224/242592

LCM = 69157872

Thus, we can understand that the LCM of 628,912,133,874,252 is 69157872.

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

• LCM of 100, 311, 865, 240, 693
• LCM of 366, 280, 868, 148, 863
• LCM of 846, 632, 490, 956, 592
• LCM of 229, 651, 614, 907, 609
• LCM of 713, 807, 570, 989, 167

1. What is the LCM of 628, 912, 133, 874, 252?

Answer: LCM of 628, 912, 133, 874, 252 is 69157872.

2. How to calculate the LCM of 628, 912, 133, 874, 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 628, 912, 133, 874, 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}.