Given numbers are 393,719,198,420

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

The LCM of 393,719,198,420 is 1305459540.

Find LCM of 393,719,198,420 with Prime Factorization

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

2 x 3 x 131 x 719 x 33 x 70 = 1305459540

Therefore, the lowest common multiple of 393,719,198,420 is 1305459540.

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.

393 x 719 x 198 x 420 = 23498271720

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.

393 : 1, 3, 131, 393

719 : 1, 719

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,719,198,420, is 1.

Now, the common factors can be found like this.

393:3x 131

719:719

198:2x 3x 3x 11

420:2x 2x 3x 5x 7

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 = 23498271720/(1x18)

LCM = 23498271720/18

LCM = 1305459540

Thus, we can understand that the LCM of 393,719,198,420 is 1305459540.

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

• LCM of 280, 228, 112, 654
• LCM of 542, 544, 319, 146
• LCM of 510, 970, 679, 724
• LCM of 457, 679, 262, 557
• LCM of 957, 583, 884, 374

1. What is the LCM of 393, 719, 198, 420?

Answer: LCM of 393, 719, 198, 420 is 1305459540.

2. How to calculate the LCM of 393, 719, 198, 420?

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 393, 719, 198, 420.

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}.