Given numbers are 870,624,551,514

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

The LCM of 870,624,551,514 is 441813840.

Find LCM of 870,624,551,514 with Prime Factorization

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

2 x 3 x 29 x 5 x 104 x 19 x 257 = 441813840

Therefore, the lowest common multiple of 870,624,551,514 is 441813840.

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.

870 x 624 x 551 x 514 = 153751216320

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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

551 : 1, 19, 29, 551

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,624,551,514, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

624:2x 2x 2x 2x 3x 13

551:19x 29

514:2x 257

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 3x 29 = 348

Therefore, the value for common factors is 348.

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 = 153751216320/(1x348)

LCM = 153751216320/348

LCM = 441813840

Thus, we can understand that the LCM of 870,624,551,514 is 441813840.

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

• LCM of 548, 734, 278, 866
• LCM of 705, 286, 182, 565
• LCM of 365, 869, 768, 700
• LCM of 921, 982, 865, 493
• LCM of 356, 470, 336, 833

1. What is the LCM of 870, 624, 551, 514?

Answer: LCM of 870, 624, 551, 514 is 441813840.

2. How to calculate the LCM of 870, 624, 551, 514?

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 870, 624, 551, 514.

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}.