Given numbers are 217,303,715,381

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

The LCM of 217,303,715,381 is 5970519555.

Find LCM of 217,303,715,381 with Prime Factorization

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

3 x 217 x 101 x 715 x 127 = 5970519555

Therefore, the lowest common multiple of 217,303,715,381 is 5970519555.

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.

217 x 303 x 715 x 381 = 17911558665

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.

217 : 1, 7, 31, 217

303 : 1, 3, 101, 303

715 : 1, 5, 11, 13, 55, 65, 143, 715

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,303,715,381, is 1.

Now, the common factors can be found like this.

217:7x 31

303:3x 101

715:5x 11x 13

381:3x 127

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 = 17911558665/(1x3)

LCM = 17911558665/3

LCM = 5970519555

Thus, we can understand that the LCM of 217,303,715,381 is 5970519555.

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

• LCM of 169, 569, 125, 900
• LCM of 722, 663, 948, 382
• LCM of 621, 835, 547, 875
• LCM of 922, 233, 828, 483
• LCM of 788, 169, 995, 364

1. What is the LCM of 217, 303, 715, 381?

Answer: LCM of 217, 303, 715, 381 is 5970519555.

2. How to calculate the LCM of 217, 303, 715, 381?

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 217, 303, 715, 381.

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}.