Given numbers are 251,507,564,102,612

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

The LCM of 251,507,564,102,612 is 1220140116.

Find LCM of 251,507,564,102,612 with Prime Factorization

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

2 x 2 x 3 x 17 x 251 x 169 x 47 x 1 x 3 = 1220140116

Therefore, the lowest common multiple of 251,507,564,102,612 is 1220140116.

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.

251 x 507 x 564 x 102 x 612 = 4480354505952

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.

251 : 1, 251

507 : 1, 3, 13, 39, 169, 507

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

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,507,564,102,612, is 1.

Now, the common factors can be found like this.

251:251

507:3x 13x 13

564:2x 2x 3x 47

102:2x 3x 17

612:2x 2x 3x 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 3x 3x 3x 17 = 3672

Therefore, the value for common factors is 3672.

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 = 4480354505952/(1x3672)

LCM = 4480354505952/3672

LCM = 1220140116

Thus, we can understand that the LCM of 251,507,564,102,612 is 1220140116.

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

• LCM of 793, 218, 299, 164, 438
• LCM of 766, 933, 375, 908, 514
• LCM of 424, 376, 378, 662, 856
• LCM of 428, 685, 787, 245, 420
• LCM of 851, 238, 659, 292, 510

1. What is the LCM of 251, 507, 564, 102, 612?

Answer: LCM of 251, 507, 564, 102, 612 is 1220140116.

2. How to calculate the LCM of 251, 507, 564, 102, 612?

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 251, 507, 564, 102, 612.

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}.