Given numbers are 120,497,522,376,228

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

The LCM of 120,497,522,376,228 is 4633491240.

Find LCM of 120,497,522,376,228 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 497 x 87 x 47 x 19 = 4633491240

Therefore, the lowest common multiple of 120,497,522,376,228 is 4633491240.

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.

120 x 497 x 522 x 376 x 228 = 2668890954240

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.

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

497 : 1, 7, 71, 497

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

376 : 1, 2, 4, 8, 47, 94, 188, 376

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,497,522,376,228, is 1.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

497:7x 71

522:2x 3x 3x 29

376:2x 2x 2x 47

228:2x 2x 3x 19

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 3 = 576

Therefore, the value for common factors is 576.

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 = 2668890954240/(1x576)

LCM = 2668890954240/576

LCM = 4633491240

Thus, we can understand that the LCM of 120,497,522,376,228 is 4633491240.

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

• LCM of 405, 143, 269, 801, 345
• LCM of 946, 676, 149, 834, 363
• LCM of 772, 659, 592, 672, 462
• LCM of 950, 467, 667, 539, 459
• LCM of 143, 989, 680, 162, 942

1. What is the LCM of 120, 497, 522, 376, 228?

Answer: LCM of 120, 497, 522, 376, 228 is 4633491240.

2. How to calculate the LCM of 120, 497, 522, 376, 228?

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 120, 497, 522, 376, 228.

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}.