Given numbers are 352,283,209,715

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

The LCM of 352,283,209,715 is 123025760.

Find LCM of 352,283,209,715 with Prime Factorization

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

11 x 32 x 283 x 19 x 65 = 123025760

Therefore, the lowest common multiple of 352,283,209,715 is 123025760.

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.

352 x 283 x 209 x 715 = 14886116960

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

283 : 1, 283

209 : 1, 11, 19, 209

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,283,209,715, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

283:283

209:11x 19

715:5x 11x 13

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 14886116960/(1x121)

LCM = 14886116960/121

LCM = 123025760

Thus, we can understand that the LCM of 352,283,209,715 is 123025760.

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

• LCM of 713, 383, 954, 995
• LCM of 376, 726, 818, 856
• LCM of 282, 544, 920, 649
• LCM of 187, 623, 421, 158
• LCM of 619, 231, 865, 372

1. What is the LCM of 352, 283, 209, 715?

Answer: LCM of 352, 283, 209, 715 is 123025760.

2. How to calculate the LCM of 352, 283, 209, 715?

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 352, 283, 209, 715.

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}.