Given numbers are 675,970,566,805,492

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

The LCM of 675,970,566,805,492 is 489250937700.

Find LCM of 675,970,566,805,492 with Prime Factorization

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

2 x 3 x 5 x 45 x 97 x 283 x 161 x 82 = 489250937700

Therefore, the lowest common multiple of 675,970,566,805,492 is 489250937700.

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.

675 x 970 x 566 x 805 x 492 = 146775281310000

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.

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

970 : 1, 2, 5, 10, 97, 194, 485, 970

566 : 1, 2, 283, 566

805 : 1, 5, 7, 23, 35, 115, 161, 805

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,970,566,805,492, is 1.

Now, the common factors can be found like this.

675:3x 3x 3x 5x 5

970:2x 5x 97

566:2x 283

805:5x 7x 23

492:2x 2x 3x 41

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 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 146775281310000/(1x300)

LCM = 146775281310000/300

LCM = 489250937700

Thus, we can understand that the LCM of 675,970,566,805,492 is 489250937700.

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

• LCM of 469, 856, 926, 838, 112
• LCM of 478, 450, 267, 958, 534
• LCM of 563, 666, 204, 874, 532
• LCM of 105, 589, 925, 966, 742
• LCM of 699, 628, 643, 412, 192

1. What is the LCM of 675, 970, 566, 805, 492?

Answer: LCM of 675, 970, 566, 805, 492 is 489250937700.

2. How to calculate the LCM of 675, 970, 566, 805, 492?

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 675, 970, 566, 805, 492.

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}.