Given numbers are 840,768,331,838

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

The LCM of 840,768,331,838 is 3727960320.

Find LCM of 840,768,331,838 with Prime Factorization

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

2 x 2 x 2 x 3 x 35 x 32 x 331 x 419 = 3727960320

Therefore, the lowest common multiple of 840,768,331,838 is 3727960320.

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.

840 x 768 x 331 x 838 = 178942095360

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.

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

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

331 : 1, 331

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,768,331,838, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

768:2x 2x 2x 2x 2x 2x 2x 2x 3

331:331

838:2x 419

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 3 = 48

Therefore, the value for common factors is 48.

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 = 178942095360/(1x48)

LCM = 178942095360/48

LCM = 3727960320

Thus, we can understand that the LCM of 840,768,331,838 is 3727960320.

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

• LCM of 170, 881, 692, 305
• LCM of 876, 522, 385, 793
• LCM of 393, 931, 662, 401
• LCM of 949, 333, 120, 782
• LCM of 454, 333, 648, 667

1. What is the LCM of 840, 768, 331, 838?

Answer: LCM of 840, 768, 331, 838 is 3727960320.

2. How to calculate the LCM of 840, 768, 331, 838?

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 840, 768, 331, 838.

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}.