Given numbers are 540,501,411,283,471

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

The LCM of 540,501,411,283,471 is 548929898460.

Find LCM of 540,501,411,283,471 with Prime Factorization

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

3 x 180 x 167 x 137 x 283 x 157 = 548929898460

Therefore, the lowest common multiple of 540,501,411,283,471 is 548929898460.

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.

540 x 501 x 411 x 283 x 471 = 14821107258420

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.

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

501 : 1, 3, 167, 501

411 : 1, 3, 137, 411

283 : 1, 283

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,501,411,283,471, is 1.

Now, the common factors can be found like this.

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

501:3x 167

411:3x 137

283:283

471:3x 157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 14821107258420/(1x27)

LCM = 14821107258420/27

LCM = 548929898460

Thus, we can understand that the LCM of 540,501,411,283,471 is 548929898460.

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

• LCM of 300, 373, 890, 352, 379
• LCM of 319, 627, 870, 144, 742
• LCM of 408, 529, 117, 434, 966
• LCM of 538, 358, 624, 222, 420
• LCM of 910, 826, 857, 349, 854

1. What is the LCM of 540, 501, 411, 283, 471?

Answer: LCM of 540, 501, 411, 283, 471 is 548929898460.

2. How to calculate the LCM of 540, 501, 411, 283, 471?

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 540, 501, 411, 283, 471.

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}.