Given numbers are 690,325,660,551,878

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

The LCM of 690,325,660,551,878 is 238671876300.

Find LCM of 690,325,660,551,878 with Prime Factorization

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

2 x 3 x 5 x 23 x 65 x 22 x 551 x 439 = 238671876300

Therefore, the lowest common multiple of 690,325,660,551,878 is 238671876300.

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.

690 x 325 x 660 x 551 x 878 = 71601562890000

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.

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

325 : 1, 5, 13, 25, 65, 325

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

551 : 1, 19, 29, 551

878 : 1, 2, 439, 878

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,325,660,551,878, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

325:5x 5x 13

660:2x 2x 3x 5x 11

551:19x 29

878:2x 439

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 = 71601562890000/(1x300)

LCM = 71601562890000/300

LCM = 238671876300

Thus, we can understand that the LCM of 690,325,660,551,878 is 238671876300.

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

• LCM of 375, 870, 233, 338, 989
• LCM of 104, 291, 556, 245, 344
• LCM of 834, 217, 696, 213, 474
• LCM of 714, 581, 707, 696, 947
• LCM of 607, 251, 899, 271, 350

1. What is the LCM of 690, 325, 660, 551, 878?

Answer: LCM of 690, 325, 660, 551, 878 is 238671876300.

2. How to calculate the LCM of 690, 325, 660, 551, 878?

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 690, 325, 660, 551, 878.

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}.