Given numbers are 887,588,506,414,690

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

The LCM of 887,588,506,414,690 is 1979305020.

Find LCM of 887,588,506,414,690 with Prime Factorization

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

2 x 3 x 23 x 887 x 98 x 11 x 3 x 5 = 1979305020

Therefore, the lowest common multiple of 887,588,506,414,690 is 1979305020.

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.

887 x 588 x 506 x 414 x 690 = 75387769601760

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.

887 : 1, 887

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

506 : 1, 2, 11, 22, 23, 46, 253, 506

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,588,506,414,690, is 1.

Now, the common factors can be found like this.

887:887

588:2x 2x 3x 7x 7

506:2x 11x 23

414:2x 3x 3x 23

690:2x 3x 5x 23

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 23x 23 = 38088

Therefore, the value for common factors is 38088.

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 = 75387769601760/(1x38088)

LCM = 75387769601760/38088

LCM = 1979305020

Thus, we can understand that the LCM of 887,588,506,414,690 is 1979305020.

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

• LCM of 398, 595, 701, 512, 118
• LCM of 117, 768, 366, 516, 933
• LCM of 762, 623, 297, 500, 309
• LCM of 837, 790, 194, 284, 694
• LCM of 144, 370, 754, 258, 117

1. What is the LCM of 887, 588, 506, 414, 690?

Answer: LCM of 887, 588, 506, 414, 690 is 1979305020.

2. How to calculate the LCM of 887, 588, 506, 414, 690?

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 887, 588, 506, 414, 690.

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}.