Given numbers are 612,689,657,142,750

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

The LCM of 612,689,657,142,750 is 273188155500.

Find LCM of 612,689,657,142,750 with Prime Factorization

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

2 x 3 x 3 x 34 x 689 x 73 x 71 x 125 = 273188155500

Therefore, the lowest common multiple of 612,689,657,142,750 is 273188155500.

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.

612 x 689 x 657 x 142 x 750 = 29504320794000

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

689 : 1, 13, 53, 689

657 : 1, 3, 9, 73, 219, 657

142 : 1, 2, 71, 142

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,689,657,142,750, is 1.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

689:13x 53

657:3x 3x 73

142:2x 71

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 29504320794000/(1x108)

LCM = 29504320794000/108

LCM = 273188155500

Thus, we can understand that the LCM of 612,689,657,142,750 is 273188155500.

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

• LCM of 755, 610, 736, 493, 746
• LCM of 107, 215, 881, 334, 748
• LCM of 970, 634, 548, 603, 456
• LCM of 185, 659, 746, 713, 501
• LCM of 716, 489, 245, 589, 527

1. What is the LCM of 612, 689, 657, 142, 750?

Answer: LCM of 612, 689, 657, 142, 750 is 273188155500.

2. How to calculate the LCM of 612, 689, 657, 142, 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 612, 689, 657, 142, 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}.