Given numbers are 240,577,756,354,466

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

The LCM of 240,577,756,354,466 is 119932127280.

Find LCM of 240,577,756,354,466 with Prime Factorization

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

2 x 2 x 3 x 20 x 577 x 63 x 59 x 233 = 119932127280

Therefore, the lowest common multiple of 240,577,756,354,466 is 119932127280.

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.

240 x 577 x 756 x 354 x 466 = 17270226328320

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

577 : 1, 577

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,577,756,354,466, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

577:577

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

354:2x 3x 59

466:2x 233

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 3 = 144

Therefore, the value for common factors is 144.

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 = 17270226328320/(1x144)

LCM = 17270226328320/144

LCM = 119932127280

Thus, we can understand that the LCM of 240,577,756,354,466 is 119932127280.

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

• LCM of 485, 552, 776, 925, 458
• LCM of 951, 845, 224, 349, 731
• LCM of 184, 499, 466, 937, 387
• LCM of 291, 240, 659, 423, 252
• LCM of 996, 755, 215, 289, 686

1. What is the LCM of 240, 577, 756, 354, 466?

Answer: LCM of 240, 577, 756, 354, 466 is 119932127280.

2. How to calculate the LCM of 240, 577, 756, 354, 466?

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 240, 577, 756, 354, 466.

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}.