Given numbers are 240,541,565,255,352

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

The LCM of 240,541,565,255,352 is 5487298080.

Find LCM of 240,541,565,255,352 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 1 x 541 x 113 x 17 x 22 = 5487298080

Therefore, the lowest common multiple of 240,541,565,255,352 is 5487298080.

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 541 x 565 x 255 x 352 = 6584757696000

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

541 : 1, 541

565 : 1, 5, 113, 565

255 : 1, 3, 5, 15, 17, 51, 85, 255

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,541,565,255,352, is 1.

Now, the common factors can be found like this.

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

541:541

565:5x 113

255:3x 5x 17

352:2x 2x 2x 2x 2x 11

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 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 6584757696000/(1x1200)

LCM = 6584757696000/1200

LCM = 5487298080

Thus, we can understand that the LCM of 240,541,565,255,352 is 5487298080.

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

• LCM of 254, 558, 782, 780, 981
• LCM of 493, 898, 592, 441, 107
• LCM of 892, 835, 604, 429, 284
• LCM of 973, 597, 343, 418, 883
• LCM of 807, 636, 730, 358, 539

1. What is the LCM of 240, 541, 565, 255, 352?

Answer: LCM of 240, 541, 565, 255, 352 is 5487298080.

2. How to calculate the LCM of 240, 541, 565, 255, 352?

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, 541, 565, 255, 352.

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}.