Given numbers are 251,241,828,106,624

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

The LCM of 251,241,828,106,624 is 138038526288.

Find LCM of 251,241,828,106,624 with Prime Factorization

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

2 x 2 x 3 x 251 x 241 x 69 x 53 x 52 = 138038526288

Therefore, the lowest common multiple of 251,241,828,106,624 is 138038526288.

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 241 x 828 x 106 x 624 = 3312924630912

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

241 : 1, 241

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

106 : 1, 2, 53, 106

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,241,828,106,624, is 1.

Now, the common factors can be found like this.

251:251

241:241

828:2x 2x 3x 3x 23

106:2x 53

624:2x 2x 2x 2x 3x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 3312924630912/(1x24)

LCM = 3312924630912/24

LCM = 138038526288

Thus, we can understand that the LCM of 251,241,828,106,624 is 138038526288.

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

• LCM of 963, 623, 333, 617, 924
• LCM of 298, 501, 303, 275, 625
• LCM of 881, 269, 457, 682, 503
• LCM of 442, 283, 309, 965, 510
• LCM of 551, 793, 896, 515, 349

1. What is the LCM of 251, 241, 828, 106, 624?

Answer: LCM of 251, 241, 828, 106, 624 is 138038526288.

2. How to calculate the LCM of 251, 241, 828, 106, 624?

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, 241, 828, 106, 624.

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}.