Given numbers are 393,214,534,840

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

The LCM of 393,214,534,840 is 1047910920.

Find LCM of 393,214,534,840 with Prime Factorization

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

2 x 3 x 131 x 107 x 89 x 140 = 1047910920

Therefore, the lowest common multiple of 393,214,534,840 is 1047910920.

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 214 x 534 x 840 = 37724793120

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

214 : 1, 2, 107, 214

534 : 1, 2, 3, 6, 89, 178, 267, 534

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,214,534,840, is 1.

Now, the common factors can be found like this.

393:3x 131

214:2x 107

534:2x 3x 89

840:2x 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 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 37724793120/(1x36)

LCM = 37724793120/36

LCM = 1047910920

Thus, we can understand that the LCM of 393,214,534,840 is 1047910920.

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

• LCM of 305, 468, 789, 119
• LCM of 370, 468, 831, 193
• LCM of 731, 836, 375, 371
• LCM of 308, 503, 802, 655
• LCM of 525, 140, 130, 119

1. What is the LCM of 393, 214, 534, 840?

Answer: LCM of 393, 214, 534, 840 is 1047910920.

2. How to calculate the LCM of 393, 214, 534, 840?

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, 214, 534, 840.

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}.