Given numbers are 342,291,862,420

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

The LCM of 342,291,862,420 is 1000859580.

Find LCM of 342,291,862,420 with Prime Factorization

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

2 x 3 x 57 x 97 x 431 x 70 = 1000859580

Therefore, the lowest common multiple of 342,291,862,420 is 1000859580.

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.

342 x 291 x 862 x 420 = 36030944880

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

291 : 1, 3, 97, 291

862 : 1, 2, 431, 862

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 342,291,862,420, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

291:3x 97

862:2x 431

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 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 = 36030944880/(1x36)

LCM = 36030944880/36

LCM = 1000859580

Thus, we can understand that the LCM of 342,291,862,420 is 1000859580.

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

• LCM of 582, 308, 685, 377
• LCM of 582, 117, 959, 969
• LCM of 116, 777, 609, 953
• LCM of 677, 284, 653, 477
• LCM of 464, 447, 273, 295

1. What is the LCM of 342, 291, 862, 420?

Answer: LCM of 342, 291, 862, 420 is 1000859580.

2. How to calculate the LCM of 342, 291, 862, 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 342, 291, 862, 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}.