Given numbers are 870,160,706,299,605

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

The LCM of 870,160,706,299,605 is 177774923040.

Find LCM of 870,160,706,299,605 with Prime Factorization

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

2 x 5 x 87 x 16 x 353 x 299 x 121 = 177774923040

Therefore, the lowest common multiple of 870,160,706,299,605 is 177774923040.

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 160 x 706 x 299 x 605 = 17777492304000

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

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

706 : 1, 2, 353, 706

299 : 1, 13, 23, 299

605 : 1, 5, 11, 55, 121, 605

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,160,706,299,605, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

160:2x 2x 2x 2x 2x 5

706:2x 353

299:13x 23

605:5x 11x 11

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 17777492304000/(1x100)

LCM = 17777492304000/100

LCM = 177774923040

Thus, we can understand that the LCM of 870,160,706,299,605 is 177774923040.

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

• LCM of 137, 690, 835, 621, 235
• LCM of 890, 808, 114, 923, 244
• LCM of 585, 332, 203, 714, 402
• LCM of 557, 155, 557, 452, 400
• LCM of 275, 459, 688, 847, 541

1. What is the LCM of 870, 160, 706, 299, 605?

Answer: LCM of 870, 160, 706, 299, 605 is 177774923040.

2. How to calculate the LCM of 870, 160, 706, 299, 605?

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, 160, 706, 299, 605.

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}.