Given numbers are 348,572,364,428,142

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

The LCM of 348,572,364,428,142 is 2646399756.

Find LCM of 348,572,364,428,142 with Prime Factorization

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

2 x 2 x 13 x 87 x 11 x 7 x 107 x 71 = 2646399756

Therefore, the lowest common multiple of 348,572,364,428,142 is 2646399756.

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.

348 x 572 x 364 x 428 x 142 = 4403609193984

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

428 : 1, 2, 4, 107, 214, 428

142 : 1, 2, 71, 142

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,572,364,428,142, is 2.

Now, the common factors can be found like this.

348:2x 2x 3x 29

572:2x 2x 11x 13

364:2x 2x 7x 13

428:2x 2x 107

142:2x 71

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 2x 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 4403609193984/(2x832)

LCM = 4403609193984/1664

LCM = 2646399756

Thus, we can understand that the LCM of 348,572,364,428,142 is 2646399756.

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

• LCM of 858, 301, 464, 322, 949
• LCM of 119, 320, 952, 592, 980
• LCM of 635, 130, 404, 726, 784
• LCM of 719, 423, 147, 547, 336
• LCM of 746, 982, 789, 409, 843

1. What is the LCM of 348, 572, 364, 428, 142?

Answer: LCM of 348, 572, 364, 428, 142 is 2646399756.

2. How to calculate the LCM of 348, 572, 364, 428, 142?

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 348, 572, 364, 428, 142.

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}.