Given numbers are 249,557,248,646,420

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

The LCM of 249,557,248,646,420 is 388845242520.

Find LCM of 249,557,248,646,420 with Prime Factorization

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

2 x 2 x 3 x 83 x 557 x 62 x 323 x 35 = 388845242520

Therefore, the lowest common multiple of 249,557,248,646,420 is 388845242520.

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.

249 x 557 x 248 x 646 x 420 = 9332285820480

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.

249 : 1, 3, 83, 249

557 : 1, 557

248 : 1, 2, 4, 8, 31, 62, 124, 248

646 : 1, 2, 17, 19, 34, 38, 323, 646

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 249,557,248,646,420, is 1.

Now, the common factors can be found like this.

249:3x 83

557:557

248:2x 2x 2x 31

646:2x 17x 19

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 3 = 24

Therefore, the value for common factors is 24.

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 = 9332285820480/(1x24)

LCM = 9332285820480/24

LCM = 388845242520

Thus, we can understand that the LCM of 249,557,248,646,420 is 388845242520.

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

• LCM of 201, 221, 219, 812, 959
• LCM of 273, 809, 685, 343, 100
• LCM of 544, 126, 190, 924, 966
• LCM of 791, 637, 869, 766, 823
• LCM of 997, 518, 101, 166, 356

1. What is the LCM of 249, 557, 248, 646, 420?

Answer: LCM of 249, 557, 248, 646, 420 is 388845242520.

2. How to calculate the LCM of 249, 557, 248, 646, 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 249, 557, 248, 646, 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}.