Given numbers are 556,678,254,452,814

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

The LCM of 556,678,254,452,814 is 9742549476.

Find LCM of 556,678,254,452,814 with Prime Factorization

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

2 x 2 x 113 x 139 x 3 x 127 x 1 x 407 = 9742549476

Therefore, the lowest common multiple of 556,678,254,452,814 is 9742549476.

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.

556 x 678 x 254 x 452 x 814 = 35229058905216

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.

556 : 1, 2, 4, 139, 278, 556

678 : 1, 2, 3, 6, 113, 226, 339, 678

254 : 1, 2, 127, 254

452 : 1, 2, 4, 113, 226, 452

814 : 1, 2, 11, 22, 37, 74, 407, 814

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,678,254,452,814, is 2.

Now, the common factors can be found like this.

556:2x 2x 139

678:2x 3x 113

254:2x 127

452:2x 2x 113

814:2x 11x 37

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 113 = 1808

Therefore, the value for common factors is 1808.

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 = 35229058905216/(2x1808)

LCM = 35229058905216/3616

LCM = 9742549476

Thus, we can understand that the LCM of 556,678,254,452,814 is 9742549476.

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

• LCM of 137, 159, 545, 854, 521
• LCM of 553, 126, 323, 433, 775
• LCM of 396, 742, 513, 152, 325
• LCM of 989, 216, 219, 724, 922
• LCM of 865, 558, 460, 878, 180

1. What is the LCM of 556, 678, 254, 452, 814?

Answer: LCM of 556, 678, 254, 452, 814 is 9742549476.

2. How to calculate the LCM of 556, 678, 254, 452, 814?

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 556, 678, 254, 452, 814.

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}.