Given numbers are 687,532,722,380,888

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

The LCM of 687,532,722,380,888 is 2569352520.

Find LCM of 687,532,722,380,888 with Prime Factorization

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

2 x 2 x 3 x 19 x 229 x 7 x 19 x 5 x 74 = 2569352520

Therefore, the lowest common multiple of 687,532,722,380,888 is 2569352520.

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.

687 x 532 x 722 x 380 x 888 = 89043480933120

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.

687 : 1, 3, 229, 687

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

722 : 1, 2, 19, 38, 361, 722

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,532,722,380,888, is 1.

Now, the common factors can be found like this.

687:3x 229

532:2x 2x 7x 19

722:2x 19x 19

380:2x 2x 5x 19

888:2x 2x 2x 3x 37

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 2x 2x 3x 19x 19 = 34656

Therefore, the value for common factors is 34656.

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 = 89043480933120/(1x34656)

LCM = 89043480933120/34656

LCM = 2569352520

Thus, we can understand that the LCM of 687,532,722,380,888 is 2569352520.

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

• LCM of 920, 819, 647, 886, 714
• LCM of 987, 665, 213, 730, 533
• LCM of 256, 263, 620, 786, 372
• LCM of 221, 338, 581, 405, 390
• LCM of 883, 151, 272, 300, 425

1. What is the LCM of 687, 532, 722, 380, 888?

Answer: LCM of 687, 532, 722, 380, 888 is 2569352520.

2. How to calculate the LCM of 687, 532, 722, 380, 888?

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 687, 532, 722, 380, 888.

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}.