Given numbers are 243,387,113,390,616

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

The LCM of 243,387,113,390,616 is 47276709480.

Find LCM of 243,387,113,390,616 with Prime Factorization

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

2 x 3 x 3 x 27 x 43 x 113 x 65 x 308 = 47276709480

Therefore, the lowest common multiple of 243,387,113,390,616 is 47276709480.

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.

243 x 387 x 113 x 390 x 616 = 2552942311920

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.

243 : 1, 3, 9, 27, 81, 243

387 : 1, 3, 9, 43, 129, 387

113 : 1, 113

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,387,113,390,616, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

387:3x 3x 43

113:113

390:2x 3x 5x 13

616:2x 2x 2x 7x 11

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 2552942311920/(1x54)

LCM = 2552942311920/54

LCM = 47276709480

Thus, we can understand that the LCM of 243,387,113,390,616 is 47276709480.

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

• LCM of 783, 619, 516, 496, 584
• LCM of 676, 790, 145, 979, 299
• LCM of 271, 660, 849, 138, 602
• LCM of 840, 570, 910, 451, 821
• LCM of 959, 903, 345, 869, 551

1. What is the LCM of 243, 387, 113, 390, 616?

Answer: LCM of 243, 387, 113, 390, 616 is 47276709480.

2. How to calculate the LCM of 243, 387, 113, 390, 616?

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 243, 387, 113, 390, 616.

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}.