Given numbers are 577,201,756,397,143

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

The LCM of 577,201,756,397,143 is 1659200827284.

Find LCM of 577,201,756,397,143 with Prime Factorization

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

3 x 577 x 67 x 252 x 397 x 143 = 1659200827284

Therefore, the lowest common multiple of 577,201,756,397,143 is 1659200827284.

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.

577 x 201 x 756 x 397 x 143 = 4977602481852

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.

577 : 1, 577

201 : 1, 3, 67, 201

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

397 : 1, 397

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,201,756,397,143, is 1.

Now, the common factors can be found like this.

577:577

201:3x 67

756:2x 2x 3x 3x 3x 7

397:397

143:11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 4977602481852/(1x3)

LCM = 4977602481852/3

LCM = 1659200827284

Thus, we can understand that the LCM of 577,201,756,397,143 is 1659200827284.

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

• LCM of 403, 155, 477, 643, 851
• LCM of 156, 619, 701, 364, 801
• LCM of 653, 307, 677, 441, 408
• LCM of 416, 906, 357, 864, 431
• LCM of 207, 199, 642, 109, 295

1. What is the LCM of 577, 201, 756, 397, 143?

Answer: LCM of 577, 201, 756, 397, 143 is 1659200827284.

2. How to calculate the LCM of 577, 201, 756, 397, 143?

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 577, 201, 756, 397, 143.

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}.