Given numbers are 370,193,542,814

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

The LCM of 370,193,542,814 is 212873210.

Find LCM of 370,193,542,814 with Prime Factorization

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

2 x 37 x 5 x 193 x 271 x 11 = 212873210

Therefore, the lowest common multiple of 370,193,542,814 is 212873210.

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.

370 x 193 x 542 x 814 = 31505235080

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.

370 : 1, 2, 5, 10, 37, 74, 185, 370

193 : 1, 193

542 : 1, 2, 271, 542

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,193,542,814, is 1.

Now, the common factors can be found like this.

370:2x 5x 37

193:193

542:2x 271

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 37 = 148

Therefore, the value for common factors is 148.

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 = 31505235080/(1x148)

LCM = 31505235080/148

LCM = 212873210

Thus, we can understand that the LCM of 370,193,542,814 is 212873210.

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

• LCM of 172, 941, 646, 254
• LCM of 441, 137, 960, 740
• LCM of 631, 151, 733, 961
• LCM of 909, 442, 881, 509
• LCM of 906, 165, 552, 252

1. What is the LCM of 370, 193, 542, 814?

Answer: LCM of 370, 193, 542, 814 is 212873210.

2. How to calculate the LCM of 370, 193, 542, 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 370, 193, 542, 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}.