Given numbers are 142,334,462,198,750

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

The LCM of 142,334,462,198,750 is 2054225250.

Find LCM of 142,334,462,198,750 with Prime Factorization

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

2 x 3 x 11 x 71 x 167 x 7 x 3 x 125 = 2054225250

Therefore, the lowest common multiple of 142,334,462,198,750 is 2054225250.

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 334 x 462 x 198 x 750 = 3253892796000

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

334 : 1, 2, 167, 334

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,334,462,198,750, is 2.

Now, the common factors can be found like this.

142:2x 71

334:2x 167

462:2x 3x 7x 11

198:2x 3x 3x 11

750:2x 3x 5x 5x 5

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 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 3253892796000/(2x792)

LCM = 3253892796000/1584

LCM = 2054225250

Thus, we can understand that the LCM of 142,334,462,198,750 is 2054225250.

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

• LCM of 534, 994, 331, 443, 739
• LCM of 512, 334, 560, 578, 906
• LCM of 798, 468, 441, 376, 467
• LCM of 156, 450, 183, 176, 110
• LCM of 727, 169, 277, 519, 594

1. What is the LCM of 142, 334, 462, 198, 750?

Answer: LCM of 142, 334, 462, 198, 750 is 2054225250.

2. How to calculate the LCM of 142, 334, 462, 198, 750?

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, 334, 462, 198, 750.

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}.