Given numbers are 249,292,355,268

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

The LCM of 249,292,355,268 is 1729359780.

Find LCM of 249,292,355,268 with Prime Factorization

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

2 x 2 x 249 x 73 x 355 x 67 = 1729359780

Therefore, the lowest common multiple of 249,292,355,268 is 1729359780.

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 292 x 355 x 268 = 6917439120

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

292 : 1, 2, 4, 73, 146, 292

355 : 1, 5, 71, 355

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,292,355,268, is 1.

Now, the common factors can be found like this.

249:3x 83

292:2x 2x 73

355:5x 71

268:2x 2x 67

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6917439120/(1x4)

LCM = 6917439120/4

LCM = 1729359780

Thus, we can understand that the LCM of 249,292,355,268 is 1729359780.

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

• LCM of 911, 670, 779, 685
• LCM of 616, 598, 825, 602
• LCM of 583, 954, 208, 533
• LCM of 105, 965, 495, 514
• LCM of 443, 970, 274, 177

1. What is the LCM of 249, 292, 355, 268?

Answer: LCM of 249, 292, 355, 268 is 1729359780.

2. How to calculate the LCM of 249, 292, 355, 268?

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, 292, 355, 268.

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}.