Given numbers are 901,710,577,414

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

The LCM of 901,710,577,414 is 76406322690.

Find LCM of 901,710,577,414 with Prime Factorization

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

2 x 901 x 355 x 577 x 207 = 76406322690

Therefore, the lowest common multiple of 901,710,577,414 is 76406322690.

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.

901 x 710 x 577 x 414 = 152812645380

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.

901 : 1, 17, 53, 901

710 : 1, 2, 5, 10, 71, 142, 355, 710

577 : 1, 577

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,710,577,414, is 1.

Now, the common factors can be found like this.

901:17x 53

710:2x 5x 71

577:577

414:2x 3x 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.

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 = 152812645380/(1x2)

LCM = 152812645380/2

LCM = 76406322690

Thus, we can understand that the LCM of 901,710,577,414 is 76406322690.

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

• LCM of 404, 474, 492, 929
• LCM of 409, 193, 996, 456
• LCM of 449, 700, 408, 581
• LCM of 773, 503, 561, 503
• LCM of 697, 713, 599, 630

1. What is the LCM of 901, 710, 577, 414?

Answer: LCM of 901, 710, 577, 414 is 76406322690.

2. How to calculate the LCM of 901, 710, 577, 414?

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 901, 710, 577, 414.

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}.