Given numbers are 801,214,975,353

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

The LCM of 801,214,975,353 is 19665471150.

Find LCM of 801,214,975,353 with Prime Factorization

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

3 x 267 x 214 x 325 x 353 = 19665471150

Therefore, the lowest common multiple of 801,214,975,353 is 19665471150.

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.

801 x 214 x 975 x 353 = 58996413450

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.

801 : 1, 3, 9, 89, 267, 801

214 : 1, 2, 107, 214

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,214,975,353, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

214:2x 107

975:3x 5x 5x 13

353:353

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

3 = 3

Therefore, the value for common factors is 3.

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 = 58996413450/(1x3)

LCM = 58996413450/3

LCM = 19665471150

Thus, we can understand that the LCM of 801,214,975,353 is 19665471150.

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

• LCM of 967, 206, 751, 778
• LCM of 138, 158, 195, 462
• LCM of 730, 701, 863, 642
• LCM of 763, 152, 531, 317
• LCM of 162, 827, 889, 555

1. What is the LCM of 801, 214, 975, 353?

Answer: LCM of 801, 214, 975, 353 is 19665471150.

2. How to calculate the LCM of 801, 214, 975, 353?

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 801, 214, 975, 353.

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}.