Given numbers are 905,514,493,538

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

The LCM of 905,514,493,538 is 61689449890.

Find LCM of 905,514,493,538 with Prime Factorization

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

2 x 905 x 257 x 493 x 269 = 61689449890

Therefore, the lowest common multiple of 905,514,493,538 is 61689449890.

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.

905 x 514 x 493 x 538 = 123378899780

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.

905 : 1, 5, 181, 905

514 : 1, 2, 257, 514

493 : 1, 17, 29, 493

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,514,493,538, is 1.

Now, the common factors can be found like this.

905:5x 181

514:2x 257

493:17x 29

538:2x 269

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

2 = 2

Therefore, the value for common factors is 2.

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 = 123378899780/(1x2)

LCM = 123378899780/2

LCM = 61689449890

Thus, we can understand that the LCM of 905,514,493,538 is 61689449890.

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

• LCM of 101, 130, 314, 141
• LCM of 523, 106, 414, 146
• LCM of 878, 103, 650, 645
• LCM of 601, 117, 827, 852
• LCM of 744, 334, 308, 496

1. What is the LCM of 905, 514, 493, 538?

Answer: LCM of 905, 514, 493, 538 is 61689449890.

2. How to calculate the LCM of 905, 514, 493, 538?

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 905, 514, 493, 538.

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}.