Given numbers are 142,235,750,464,690

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

The LCM of 142,235,750,464,690 is 13354674000.

Find LCM of 142,235,750,464,690 with Prime Factorization

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

2 x 3 x 5 x 71 x 47 x 25 x 232 x 23 = 13354674000

Therefore, the lowest common multiple of 142,235,750,464,690 is 13354674000.

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 235 x 750 x 464 x 690 = 8012804400000

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

235 : 1, 5, 47, 235

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

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,235,750,464,690, is 1.

Now, the common factors can be found like this.

142:2x 71

235:5x 47

750:2x 3x 5x 5x 5

464:2x 2x 2x 2x 29

690:2x 3x 5x 23

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 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 8012804400000/(1x600)

LCM = 8012804400000/600

LCM = 13354674000

Thus, we can understand that the LCM of 142,235,750,464,690 is 13354674000.

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

• LCM of 621, 946, 209, 173, 458
• LCM of 954, 608, 679, 153, 579
• LCM of 691, 400, 320, 792, 151
• LCM of 485, 755, 875, 266, 991
• LCM of 678, 793, 296, 589, 676

1. What is the LCM of 142, 235, 750, 464, 690?

Answer: LCM of 142, 235, 750, 464, 690 is 13354674000.

2. How to calculate the LCM of 142, 235, 750, 464, 690?

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, 235, 750, 464, 690.

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}.