Given numbers are 557,506,672,702,318

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

The LCM of 557,506,672,702,318 is 587227953312.

Find LCM of 557,506,672,702,318 with Prime Factorization

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

2 x 3 x 557 x 253 x 112 x 117 x 53 = 587227953312

Therefore, the lowest common multiple of 557,506,672,702,318 is 587227953312.

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.

557 x 506 x 672 x 702 x 318 = 42280412638464

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.

557 : 1, 557

506 : 1, 2, 11, 22, 23, 46, 253, 506

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,506,672,702,318, is 1.

Now, the common factors can be found like this.

557:557

506:2x 11x 23

672:2x 2x 2x 2x 2x 3x 7

702:2x 3x 3x 3x 13

318:2x 3x 53

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

2x 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 42280412638464/(1x72)

LCM = 42280412638464/72

LCM = 587227953312

Thus, we can understand that the LCM of 557,506,672,702,318 is 587227953312.

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

• LCM of 499, 564, 520, 759, 409
• LCM of 637, 882, 772, 179, 791
• LCM of 441, 149, 500, 341, 552
• LCM of 849, 494, 624, 258, 449
• LCM of 447, 814, 289, 650, 172

1. What is the LCM of 557, 506, 672, 702, 318?

Answer: LCM of 557, 506, 672, 702, 318 is 587227953312.

2. How to calculate the LCM of 557, 506, 672, 702, 318?

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 557, 506, 672, 702, 318.

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}.