Given numbers are 247,728,341,539,968

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

The LCM of 247,728,341,539,968 is 363186824.

Find LCM of 247,728,341,539,968 with Prime Factorization

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

2 x 2 x 2 x 7 x 11 x 13 x 19 x 1 x 31 x 7 x 11 = 363186824

Therefore, the lowest common multiple of 247,728,341,539,968 is 363186824.

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.

247 x 728 x 341 x 539 x 968 = 31992400952512

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.

247 : 1, 13, 19, 247

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

341 : 1, 11, 31, 341

539 : 1, 7, 11, 49, 77, 539

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,728,341,539,968, is 1.

Now, the common factors can be found like this.

247:13x 19

728:2x 2x 2x 7x 13

341:11x 31

539:7x 7x 11

968:2x 2x 2x 11x 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 2x 2x 7x 11x 11x 13 = 88088

Therefore, the value for common factors is 88088.

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 = 31992400952512/(1x88088)

LCM = 31992400952512/88088

LCM = 363186824

Thus, we can understand that the LCM of 247,728,341,539,968 is 363186824.

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

• LCM of 900, 789, 797, 208, 405
• LCM of 974, 851, 842, 508, 276
• LCM of 480, 267, 290, 569, 528
• LCM of 323, 142, 118, 581, 335
• LCM of 815, 297, 814, 237, 194

1. What is the LCM of 247, 728, 341, 539, 968?

Answer: LCM of 247, 728, 341, 539, 968 is 363186824.

2. How to calculate the LCM of 247, 728, 341, 539, 968?

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 247, 728, 341, 539, 968.

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}.