Given numbers are 249,150,261,193,424

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

The LCM of 249,150,261,193,424 is 44318165400.

Find LCM of 249,150,261,193,424 with Prime Factorization

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

2 x 3 x 83 x 25 x 87 x 193 x 212 = 44318165400

Therefore, the lowest common multiple of 249,150,261,193,424 is 44318165400.

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 150 x 261 x 193 x 424 = 797726977200

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

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

261 : 1, 3, 9, 29, 87, 261

193 : 1, 193

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,150,261,193,424, is 1.

Now, the common factors can be found like this.

249:3x 83

150:2x 3x 5x 5

261:3x 3x 29

193:193

424:2x 2x 2x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 797726977200/(1x18)

LCM = 797726977200/18

LCM = 44318165400

Thus, we can understand that the LCM of 249,150,261,193,424 is 44318165400.

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

• LCM of 644, 932, 275, 616, 488
• LCM of 896, 313, 684, 433, 604
• LCM of 818, 615, 110, 329, 583
• LCM of 534, 933, 994, 965, 131
• LCM of 822, 380, 685, 261, 550

1. What is the LCM of 249, 150, 261, 193, 424?

Answer: LCM of 249, 150, 261, 193, 424 is 44318165400.

2. How to calculate the LCM of 249, 150, 261, 193, 424?

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, 150, 261, 193, 424.

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}.