Given numbers are 261,251,862,624

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

The LCM of 261,251,862,624 is 5872930128.

Find LCM of 261,251,862,624 with Prime Factorization

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

2 x 3 x 87 x 251 x 431 x 104 = 5872930128

Therefore, the lowest common multiple of 261,251,862,624 is 5872930128.

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.

261 x 251 x 862 x 624 = 35237580768

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.

261 : 1, 3, 9, 29, 87, 261

251 : 1, 251

862 : 1, 2, 431, 862

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 261,251,862,624, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

251:251

862:2x 431

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 3 = 6

Therefore, the value for common factors is 6.

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 = 35237580768/(1x6)

LCM = 35237580768/6

LCM = 5872930128

Thus, we can understand that the LCM of 261,251,862,624 is 5872930128.

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

• LCM of 580, 463, 673, 107
• LCM of 916, 151, 379, 232
• LCM of 822, 452, 694, 581
• LCM of 679, 717, 455, 118
• LCM of 571, 424, 294, 731

1. What is the LCM of 261, 251, 862, 624?

Answer: LCM of 261, 251, 862, 624 is 5872930128.

2. How to calculate the LCM of 261, 251, 862, 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 261, 251, 862, 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}.