Given numbers are 495,483,708,577,561

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

The LCM of 495,483,708,577,561 is 184487868180.

Find LCM of 495,483,708,577,561 with Prime Factorization

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

3 x 11 x 15 x 161 x 236 x 577 x 17 = 184487868180

Therefore, the lowest common multiple of 495,483,708,577,561 is 184487868180.

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.

495 x 483 x 708 x 577 x 561 = 54792896849460

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

483 : 1, 3, 7, 21, 23, 69, 161, 483

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

577 : 1, 577

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,483,708,577,561, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

483:3x 7x 23

708:2x 2x 3x 59

577:577

561:3x 11x 17

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

3x 3x 3x 11 = 297

Therefore, the value for common factors is 297.

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 = 54792896849460/(1x297)

LCM = 54792896849460/297

LCM = 184487868180

Thus, we can understand that the LCM of 495,483,708,577,561 is 184487868180.

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

• LCM of 466, 572, 680, 170, 852
• LCM of 754, 979, 899, 119, 740
• LCM of 780, 412, 483, 729, 104
• LCM of 285, 321, 318, 979, 851
• LCM of 481, 507, 783, 980, 699

1. What is the LCM of 495, 483, 708, 577, 561?

Answer: LCM of 495, 483, 708, 577, 561 is 184487868180.

2. How to calculate the LCM of 495, 483, 708, 577, 561?

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 495, 483, 708, 577, 561.

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}.