Given numbers are 870,159,688,750,882

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

The LCM of 870,159,688,750,882 is 58292262000.

Find LCM of 870,159,688,750,882 with Prime Factorization

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

2 x 3 x 5 x 29 x 53 x 344 x 25 x 147 = 58292262000

Therefore, the lowest common multiple of 870,159,688,750,882 is 58292262000.

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 159 x 688 x 750 x 882 = 62955642960000

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

159 : 1, 3, 53, 159

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,159,688,750,882, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

159:3x 53

688:2x 2x 2x 2x 43

750:2x 3x 5x 5x 5

882:2x 3x 3x 7x 7

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 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 62955642960000/(1x1080)

LCM = 62955642960000/1080

LCM = 58292262000

Thus, we can understand that the LCM of 870,159,688,750,882 is 58292262000.

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

• LCM of 457, 857, 327, 447, 415
• LCM of 688, 884, 702, 942, 940
• LCM of 446, 504, 908, 859, 594
• LCM of 428, 633, 732, 110, 340
• LCM of 895, 595, 134, 538, 171

1. What is the LCM of 870, 159, 688, 750, 882?

Answer: LCM of 870, 159, 688, 750, 882 is 58292262000.

2. How to calculate the LCM of 870, 159, 688, 750, 882?

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, 159, 688, 750, 882.

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}.