Given numbers are 516,704,293,270,438

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

The LCM of 516,704,293,270,438 is 87410854080.

Find LCM of 516,704,293,270,438 with Prime Factorization

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

2 x 2 x 3 x 43 x 176 x 293 x 45 x 73 = 87410854080

Therefore, the lowest common multiple of 516,704,293,270,438 is 87410854080.

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.

516 x 704 x 293 x 270 x 438 = 12587162987520

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

293 : 1, 293

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,704,293,270,438, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

704:2x 2x 2x 2x 2x 2x 11

293:293

270:2x 3x 3x 3x 5

438:2x 3x 73

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 12587162987520/(1x144)

LCM = 12587162987520/144

LCM = 87410854080

Thus, we can understand that the LCM of 516,704,293,270,438 is 87410854080.

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

• LCM of 958, 777, 755, 557, 884
• LCM of 976, 932, 530, 458, 730
• LCM of 706, 989, 766, 618, 718
• LCM of 656, 916, 653, 396, 975
• LCM of 551, 402, 583, 525, 596

1. What is the LCM of 516, 704, 293, 270, 438?

Answer: LCM of 516, 704, 293, 270, 438 is 87410854080.

2. How to calculate the LCM of 516, 704, 293, 270, 438?

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 516, 704, 293, 270, 438.

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}.