Given numbers are 240,754,377,497,552

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

The LCM of 240,754,377,497,552 is 1034276880.

Find LCM of 240,754,377,497,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 29 x 10 x 1 x 1 x 497 x 23 = 1034276880

Therefore, the lowest common multiple of 240,754,377,497,552 is 1034276880.

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 754 x 377 x 497 x 552 = 18716274420480

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

754 : 1, 2, 13, 26, 29, 58, 377, 754

377 : 1, 13, 29, 377

497 : 1, 7, 71, 497

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,754,377,497,552, is 1.

Now, the common factors can be found like this.

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

754:2x 13x 29

377:13x 29

497:7x 71

552:2x 2x 2x 3x 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 3x 13x 29 = 18096

Therefore, the value for common factors is 18096.

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 = 18716274420480/(1x18096)

LCM = 18716274420480/18096

LCM = 1034276880

Thus, we can understand that the LCM of 240,754,377,497,552 is 1034276880.

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

• LCM of 266, 265, 669, 166, 621
• LCM of 757, 520, 929, 333, 788
• LCM of 863, 824, 411, 507, 867
• LCM of 982, 666, 885, 265, 436
• LCM of 468, 714, 735, 944, 499

1. What is the LCM of 240, 754, 377, 497, 552?

Answer: LCM of 240, 754, 377, 497, 552 is 1034276880.

2. How to calculate the LCM of 240, 754, 377, 497, 552?

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, 754, 377, 497, 552.

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}.