Given numbers are 249,138,194,633,840

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

The LCM of 249,138,194,633,840 is 32820062520.

Find LCM of 249,138,194,633,840 with Prime Factorization

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

2 x 3 x 83 x 23 x 97 x 211 x 140 = 32820062520

Therefore, the lowest common multiple of 249,138,194,633,840 is 32820062520.

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 138 x 194 x 633 x 840 = 3544566752160

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

194 : 1, 2, 97, 194

633 : 1, 3, 211, 633

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,138,194,633,840, is 1.

Now, the common factors can be found like this.

249:3x 83

138:2x 3x 23

194:2x 97

633:3x 211

840:2x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 3544566752160/(1x108)

LCM = 3544566752160/108

LCM = 32820062520

Thus, we can understand that the LCM of 249,138,194,633,840 is 32820062520.

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

• LCM of 371, 735, 773, 972, 979
• LCM of 252, 895, 835, 407, 625
• LCM of 305, 617, 199, 979, 489
• LCM of 900, 393, 808, 991, 189
• LCM of 211, 145, 769, 974, 500

1. What is the LCM of 249, 138, 194, 633, 840?

Answer: LCM of 249, 138, 194, 633, 840 is 32820062520.

2. How to calculate the LCM of 249, 138, 194, 633, 840?

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, 138, 194, 633, 840.

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}.