Given numbers are 240,348,432,455,641

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

The LCM of 240,348,432,455,641 is 3653853840.

Find LCM of 240,348,432,455,641 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 29 x 9 x 91 x 641 = 3653853840

Therefore, the lowest common multiple of 240,348,432,455,641 is 3653853840.

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 348 x 432 x 455 x 641 = 10523099059200

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

455 : 1, 5, 7, 13, 35, 65, 91, 455

641 : 1, 641

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,348,432,455,641, is 1.

Now, the common factors can be found like this.

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

348:2x 2x 3x 29

432:2x 2x 2x 2x 3x 3x 3

455:5x 7x 13

641:641

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 2x 2x 3x 3x 5 = 2880

Therefore, the value for common factors is 2880.

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 = 10523099059200/(1x2880)

LCM = 10523099059200/2880

LCM = 3653853840

Thus, we can understand that the LCM of 240,348,432,455,641 is 3653853840.

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

• LCM of 146, 457, 147, 844, 503
• LCM of 439, 427, 346, 222, 426
• LCM of 560, 619, 656, 376, 404
• LCM of 920, 358, 551, 862, 248
• LCM of 668, 880, 737, 409, 328

1. What is the LCM of 240, 348, 432, 455, 641?

Answer: LCM of 240, 348, 432, 455, 641 is 3653853840.

2. How to calculate the LCM of 240, 348, 432, 455, 641?

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, 348, 432, 455, 641.

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}.