Given numbers are 544,684,646,124,214

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

The LCM of 544,684,646,124,214 is 308560608.

Find LCM of 544,684,646,124,214 with Prime Factorization

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

2 x 2 x 17 x 19 x 8 x 9 x 1 x 31 x 107 = 308560608

Therefore, the lowest common multiple of 544,684,646,124,214 is 308560608.

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.

544 x 684 x 646 x 124 x 214 = 6378564888576

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

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

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,684,646,124,214, is 2.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

684:2x 2x 3x 3x 19

646:2x 17x 19

124:2x 2x 31

214:2x 107

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 17x 19 = 10336

Therefore, the value for common factors is 10336.

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 = 6378564888576/(2x10336)

LCM = 6378564888576/20672

LCM = 308560608

Thus, we can understand that the LCM of 544,684,646,124,214 is 308560608.

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

• LCM of 289, 836, 799, 944, 866
• LCM of 593, 324, 804, 743, 234
• LCM of 333, 577, 302, 830, 803
• LCM of 661, 745, 474, 946, 680
• LCM of 505, 507, 867, 755, 164

1. What is the LCM of 544, 684, 646, 124, 214?

Answer: LCM of 544, 684, 646, 124, 214 is 308560608.

2. How to calculate the LCM of 544, 684, 646, 124, 214?

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 544, 684, 646, 124, 214.

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}.