Given numbers are 870,610,585,264,753

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

The LCM of 870,610,585,264,753 is 22858098120.

Find LCM of 870,610,585,264,753 with Prime Factorization

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

2 x 3 x 5 x 29 x 61 x 39 x 44 x 251 = 22858098120

Therefore, the lowest common multiple of 870,610,585,264,753 is 22858098120.

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 610 x 585 x 264 x 753 = 61716864924000

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,610,585,264,753, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

610:2x 5x 61

585:3x 3x 5x 13

264:2x 2x 2x 3x 11

753:3x 251

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 3x 3x 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 61716864924000/(1x2700)

LCM = 61716864924000/2700

LCM = 22858098120

Thus, we can understand that the LCM of 870,610,585,264,753 is 22858098120.

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

• LCM of 337, 480, 881, 615, 167
• LCM of 577, 919, 515, 361, 378
• LCM of 992, 337, 768, 269, 272
• LCM of 716, 323, 133, 620, 156
• LCM of 127, 189, 579, 915, 998

1. What is the LCM of 870, 610, 585, 264, 753?

Answer: LCM of 870, 610, 585, 264, 753 is 22858098120.

2. How to calculate the LCM of 870, 610, 585, 264, 753?

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, 610, 585, 264, 753.

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}.