Given numbers are 498,324,540,372,706

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

The LCM of 498,324,540,372,706 is 1471395780.

Find LCM of 498,324,540,372,706 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 83 x 3 x 5 x 31 x 353 = 1471395780

Therefore, the lowest common multiple of 498,324,540,372,706 is 1471395780.

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.

498 x 324 x 540 x 372 x 706 = 22883147170560

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

706 : 1, 2, 353, 706

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,324,540,372,706, is 2.

Now, the common factors can be found like this.

498:2x 3x 83

324:2x 2x 3x 3x 3x 3

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

372:2x 2x 3x 31

706:2x 353

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 3x 3x 3x 3 = 7776

Therefore, the value for common factors is 7776.

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 = 22883147170560/(2x7776)

LCM = 22883147170560/15552

LCM = 1471395780

Thus, we can understand that the LCM of 498,324,540,372,706 is 1471395780.

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

• LCM of 877, 363, 248, 286, 280
• LCM of 187, 760, 294, 832, 379
• LCM of 107, 662, 561, 119, 336
• LCM of 378, 622, 425, 414, 543
• LCM of 146, 324, 830, 976, 432

1. What is the LCM of 498, 324, 540, 372, 706?

Answer: LCM of 498, 324, 540, 372, 706 is 1471395780.

2. How to calculate the LCM of 498, 324, 540, 372, 706?

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 498, 324, 540, 372, 706.

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}.