Given numbers are 705,265,750,660,708

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

The LCM of 705,265,750,660,708 is 2424988500.

Find LCM of 705,265,750,660,708 with Prime Factorization

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

2 x 2 x 3 x 5 x 47 x 53 x 25 x 11 x 59 = 2424988500

Therefore, the lowest common multiple of 705,265,750,660,708 is 2424988500.

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.

705 x 265 x 750 x 660 x 708 = 65474689500000

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

265 : 1, 5, 53, 265

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,265,750,660,708, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

265:5x 53

750:2x 3x 5x 5x 5

660:2x 2x 3x 5x 11

708:2x 2x 3x 59

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 3x 5x 5x 5 = 27000

Therefore, the value for common factors is 27000.

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 = 65474689500000/(1x27000)

LCM = 65474689500000/27000

LCM = 2424988500

Thus, we can understand that the LCM of 705,265,750,660,708 is 2424988500.

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

• LCM of 928, 232, 306, 697, 332
• LCM of 298, 620, 712, 770, 780
• LCM of 704, 892, 198, 309, 827
• LCM of 919, 775, 553, 436, 214
• LCM of 191, 485, 130, 907, 195

1. What is the LCM of 705, 265, 750, 660, 708?

Answer: LCM of 705, 265, 750, 660, 708 is 2424988500.

2. How to calculate the LCM of 705, 265, 750, 660, 708?

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 705, 265, 750, 660, 708.

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}.