Given numbers are 249,177,552,342

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

The LCM of 249,177,552,342 is 154079208.

Find LCM of 249,177,552,342 with Prime Factorization

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

2 x 3 x 83 x 59 x 92 x 57 = 154079208

Therefore, the lowest common multiple of 249,177,552,342 is 154079208.

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 177 x 552 x 342 = 8320277232

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

177 : 1, 3, 59, 177

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,177,552,342, is 3.

Now, the common factors can be found like this.

249:3x 83

177:3x 59

552:2x 2x 2x 3x 23

342:2x 3x 3x 19

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 = 8320277232/(3x18)

LCM = 8320277232/54

LCM = 154079208

Thus, we can understand that the LCM of 249,177,552,342 is 154079208.

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

• LCM of 560, 223, 300, 212
• LCM of 863, 828, 641, 134
• LCM of 894, 847, 523, 657
• LCM of 714, 346, 731, 895
• LCM of 355, 696, 740, 518

1. What is the LCM of 249, 177, 552, 342?

Answer: LCM of 249, 177, 552, 342 is 154079208.

2. How to calculate the LCM of 249, 177, 552, 342?

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, 177, 552, 342.

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}.