Given numbers are 528,722,677,452,140

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

The LCM of 528,722,677,452,140 is 510359591280.

Find LCM of 528,722,677,452,140 with Prime Factorization

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

2 x 2 x 132 x 361 x 677 x 113 x 35 = 510359591280

Therefore, the lowest common multiple of 528,722,677,452,140 is 510359591280.

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 722 x 677 x 452 x 140 = 16331506920960

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

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

677 : 1, 677

452 : 1, 2, 4, 113, 226, 452

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,722,677,452,140, is 1.

Now, the common factors can be found like this.

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

722:2x 19x 19

677:677

452:2x 2x 113

140:2x 2x 5x 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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 16331506920960/(1x32)

LCM = 16331506920960/32

LCM = 510359591280

Thus, we can understand that the LCM of 528,722,677,452,140 is 510359591280.

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

• LCM of 230, 592, 698, 895, 760
• LCM of 621, 409, 726, 325, 987
• LCM of 856, 368, 732, 726, 494
• LCM of 408, 696, 349, 777, 645
• LCM of 741, 607, 163, 230, 858

1. What is the LCM of 528, 722, 677, 452, 140?

Answer: LCM of 528, 722, 677, 452, 140 is 510359591280.

2. How to calculate the LCM of 528, 722, 677, 452, 140?

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, 722, 677, 452, 140.

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}.