Given numbers are 517,688,293,364

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

The LCM of 517,688,293,364 is 9483922448.

Find LCM of 517,688,293,364 with Prime Factorization

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

2 x 2 x 517 x 172 x 293 x 91 = 9483922448

Therefore, the lowest common multiple of 517,688,293,364 is 9483922448.

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.

517 x 688 x 293 x 364 = 37935689792

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.

517 : 1, 11, 47, 517

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

293 : 1, 293

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,688,293,364, is 1.

Now, the common factors can be found like this.

517:11x 47

688:2x 2x 2x 2x 43

293:293

364:2x 2x 7x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 37935689792/(1x4)

LCM = 37935689792/4

LCM = 9483922448

Thus, we can understand that the LCM of 517,688,293,364 is 9483922448.

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

• LCM of 514, 382, 516, 318
• LCM of 869, 528, 668, 656
• LCM of 899, 581, 541, 410
• LCM of 600, 771, 448, 227
• LCM of 788, 472, 256, 968

1. What is the LCM of 517, 688, 293, 364?

Answer: LCM of 517, 688, 293, 364 is 9483922448.

2. How to calculate the LCM of 517, 688, 293, 364?

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 517, 688, 293, 364.

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}.