Given numbers are 924,540,564,457,278

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

The LCM of 924,540,564,457,278 is 124140457980.

Find LCM of 924,540,564,457,278 with Prime Factorization

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

2 x 2 x 3 x 77 x 45 x 47 x 457 x 139 = 124140457980

Therefore, the lowest common multiple of 924,540,564,457,278 is 124140457980.

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.

924 x 540 x 564 x 457 x 278 = 35752451898240

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

457 : 1, 457

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,540,564,457,278, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

540:2x 2x 3x 3x 3x 5

564:2x 2x 3x 47

457:457

278:2x 139

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 35752451898240/(1x288)

LCM = 35752451898240/288

LCM = 124140457980

Thus, we can understand that the LCM of 924,540,564,457,278 is 124140457980.

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

• LCM of 425, 712, 617, 484, 178
• LCM of 798, 802, 472, 582, 942
• LCM of 621, 903, 166, 714, 366
• LCM of 205, 346, 267, 403, 673
• LCM of 653, 836, 811, 741, 503

1. What is the LCM of 924, 540, 564, 457, 278?

Answer: LCM of 924, 540, 564, 457, 278 is 124140457980.

2. How to calculate the LCM of 924, 540, 564, 457, 278?

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 924, 540, 564, 457, 278.

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}.