Given numbers are 528,552,719,506,635

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

The LCM of 528,552,719,506,635 is 5544525360.

Find LCM of 528,552,719,506,635 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 23 x 2 x 1 x 719 x 1 x 635 = 5544525360

Therefore, the lowest common multiple of 528,552,719,506,635 is 5544525360.

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 552 x 719 x 506 x 635 = 67332715971840

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

719 : 1, 719

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

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,552,719,506,635, is 1.

Now, the common factors can be found like this.

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

552:2x 2x 2x 3x 23

719:719

506:2x 11x 23

635:5x 127

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 3x 11x 23 = 12144

Therefore, the value for common factors is 12144.

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 = 67332715971840/(1x12144)

LCM = 67332715971840/12144

LCM = 5544525360

Thus, we can understand that the LCM of 528,552,719,506,635 is 5544525360.

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

• LCM of 469, 701, 257, 658, 340
• LCM of 300, 785, 514, 436, 397
• LCM of 566, 151, 936, 880, 800
• LCM of 457, 432, 826, 732, 737
• LCM of 684, 136, 500, 863, 215

1. What is the LCM of 528, 552, 719, 506, 635?

Answer: LCM of 528, 552, 719, 506, 635 is 5544525360.

2. How to calculate the LCM of 528, 552, 719, 506, 635?

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, 552, 719, 506, 635.

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}.