Given numbers are 516,312,658,267,346

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

The LCM of 516,312,658,267,346 is 67960264008.

Find LCM of 516,312,658,267,346 with Prime Factorization

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

2 x 2 x 3 x 43 x 26 x 329 x 89 x 173 = 67960264008

Therefore, the lowest common multiple of 516,312,658,267,346 is 67960264008.

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 312 x 658 x 267 x 346 = 9786278017152

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

658 : 1, 2, 7, 14, 47, 94, 329, 658

267 : 1, 3, 89, 267

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,312,658,267,346, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

312:2x 2x 2x 3x 13

658:2x 7x 47

267:3x 89

346:2x 173

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 = 9786278017152/(1x144)

LCM = 9786278017152/144

LCM = 67960264008

Thus, we can understand that the LCM of 516,312,658,267,346 is 67960264008.

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

• LCM of 412, 721, 553, 857, 611
• LCM of 665, 671, 622, 812, 479
• LCM of 141, 330, 380, 973, 160
• LCM of 444, 561, 586, 691, 845
• LCM of 105, 825, 168, 486, 758

1. What is the LCM of 516, 312, 658, 267, 346?

Answer: LCM of 516, 312, 658, 267, 346 is 67960264008.

2. How to calculate the LCM of 516, 312, 658, 267, 346?

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, 312, 658, 267, 346.

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}.