Given numbers are 528,235,671,385,686

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

The LCM of 528,235,671,385,686 is 2596125840.

Find LCM of 528,235,671,385,686 with Prime Factorization

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

2 x 5 x 7 x 11 x 24 x 47 x 61 x 1 x 49 = 2596125840

Therefore, the lowest common multiple of 528,235,671,385,686 is 2596125840.

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.

528 x 235 x 671 x 385 x 686 = 21989185864800

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

235 : 1, 5, 47, 235

671 : 1, 11, 61, 671

385 : 1, 5, 7, 11, 35, 55, 77, 385

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,235,671,385,686, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

235:5x 47

671:11x 61

385:5x 7x 11

686:2x 7x 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 5x 7x 11x 11 = 8470

Therefore, the value for common factors is 8470.

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 = 21989185864800/(1x8470)

LCM = 21989185864800/8470

LCM = 2596125840

Thus, we can understand that the LCM of 528,235,671,385,686 is 2596125840.

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

• LCM of 784, 743, 254, 955, 610
• LCM of 310, 454, 791, 521, 211
• LCM of 866, 323, 724, 484, 301
• LCM of 116, 921, 962, 159, 874
• LCM of 928, 960, 779, 959, 641

1. What is the LCM of 528, 235, 671, 385, 686?

Answer: LCM of 528, 235, 671, 385, 686 is 2596125840.

2. How to calculate the LCM of 528, 235, 671, 385, 686?

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 528, 235, 671, 385, 686.

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}.