Given numbers are 560,495,440,461,322

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

The LCM of 560,495,440,461,322 is 587830320.

Find LCM of 560,495,440,461,322 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 11 x 2 x 9 x 1 x 461 x 23 = 587830320

Therefore, the lowest common multiple of 560,495,440,461,322 is 587830320.

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.

560 x 495 x 440 x 461 x 322 = 18105173856000

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

461 : 1, 461

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,495,440,461,322, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

495:3x 3x 5x 11

440:2x 2x 2x 5x 11

461:461

322:2x 7x 23

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 5x 5x 7x 11 = 30800

Therefore, the value for common factors is 30800.

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 = 18105173856000/(1x30800)

LCM = 18105173856000/30800

LCM = 587830320

Thus, we can understand that the LCM of 560,495,440,461,322 is 587830320.

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

• LCM of 316, 456, 862, 891, 131
• LCM of 789, 749, 967, 987, 644
• LCM of 696, 710, 260, 920, 351
• LCM of 111, 190, 475, 152, 920
• LCM of 370, 687, 461, 324, 902

1. What is the LCM of 560, 495, 440, 461, 322?

Answer: LCM of 560, 495, 440, 461, 322 is 587830320.

2. How to calculate the LCM of 560, 495, 440, 461, 322?

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 560, 495, 440, 461, 322.

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}.