Given numbers are 142,622,201,312

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

The LCM of 142,622,201,312 is 461581224.

Find LCM of 142,622,201,312 with Prime Factorization

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

2 x 3 x 71 x 311 x 67 x 52 = 461581224

Therefore, the lowest common multiple of 142,622,201,312 is 461581224.

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.

142 x 622 x 201 x 312 = 5538974688

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.

142 : 1, 2, 71, 142

622 : 1, 2, 311, 622

201 : 1, 3, 67, 201

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,622,201,312, is 1.

Now, the common factors can be found like this.

142:2x 71

622:2x 311

201:3x 67

312:2x 2x 2x 3x 13

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 = 5538974688/(1x12)

LCM = 5538974688/12

LCM = 461581224

Thus, we can understand that the LCM of 142,622,201,312 is 461581224.

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

• LCM of 750, 138, 471, 240
• LCM of 480, 850, 390, 926
• LCM of 598, 114, 719, 975
• LCM of 919, 310, 132, 242
• LCM of 775, 977, 155, 907

1. What is the LCM of 142, 622, 201, 312?

Answer: LCM of 142, 622, 201, 312 is 461581224.

2. How to calculate the LCM of 142, 622, 201, 312?

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 142, 622, 201, 312.

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}.