Given numbers are 342,957,104,214

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

The LCM of 342,957,104,214 is 607021272.

Find LCM of 342,957,104,214 with Prime Factorization

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

2 x 3 x 57 x 319 x 52 x 107 = 607021272

Therefore, the lowest common multiple of 342,957,104,214 is 607021272.

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 957 x 104 x 214 = 7284255264

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

957 : 1, 3, 11, 29, 33, 87, 319, 957

104 : 1, 2, 4, 8, 13, 26, 52, 104

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,957,104,214, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

957:3x 11x 29

104:2x 2x 2x 13

214:2x 107

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 3 = 12

Therefore, the value for common factors is 12.

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 = 7284255264/(1x12)

LCM = 7284255264/12

LCM = 607021272

Thus, we can understand that the LCM of 342,957,104,214 is 607021272.

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

• LCM of 965, 201, 301, 987
• LCM of 858, 175, 977, 492
• LCM of 770, 312, 892, 111
• LCM of 690, 739, 390, 106
• LCM of 163, 978, 946, 797

1. What is the LCM of 342, 957, 104, 214?

Answer: LCM of 342, 957, 104, 214 is 607021272.

2. How to calculate the LCM of 342, 957, 104, 214?

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, 957, 104, 214.

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}.