Given numbers are 340,489,968,272,420

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

The LCM of 340,489,968,272,420 is 563288880.

Find LCM of 340,489,968,272,420 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 17 x 1 x 163 x 121 x 2 x 7 = 563288880

Therefore, the lowest common multiple of 340,489,968,272,420 is 563288880.

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.

340 x 489 x 968 x 272 x 420 = 18385749043200

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

489 : 1, 3, 163, 489

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,489,968,272,420, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

489:3x 163

968:2x 2x 2x 11x 11

272:2x 2x 2x 2x 17

420:2x 2x 3x 5x 7

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 2x 2x 2x 3x 5x 17 = 32640

Therefore, the value for common factors is 32640.

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 = 18385749043200/(1x32640)

LCM = 18385749043200/32640

LCM = 563288880

Thus, we can understand that the LCM of 340,489,968,272,420 is 563288880.

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

• LCM of 465, 105, 324, 176, 657
• LCM of 911, 263, 399, 487, 431
• LCM of 685, 179, 387, 323, 977
• LCM of 190, 299, 874, 627, 551
• LCM of 374, 267, 234, 711, 518

1. What is the LCM of 340, 489, 968, 272, 420?

Answer: LCM of 340, 489, 968, 272, 420 is 563288880.

2. How to calculate the LCM of 340, 489, 968, 272, 420?

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 340, 489, 968, 272, 420.

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}.