Given numbers are 645,165,827,345,975

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

The LCM of 645,165,827,345,975 is 8772009675.

Find LCM of 645,165,827,345,975 with Prime Factorization

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

3 x 5 x 43 x 11 x 827 x 23 x 65 = 8772009675

Therefore, the lowest common multiple of 645,165,827,345,975 is 8772009675.

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.

645 x 165 x 827 x 345 x 975 = 29605532653125

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

165 : 1, 3, 5, 11, 15, 33, 55, 165

827 : 1, 827

345 : 1, 3, 5, 15, 23, 69, 115, 345

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,165,827,345,975, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

165:3x 5x 11

827:827

345:3x 5x 23

975:3x 5x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 5x 5x 5 = 3375

Therefore, the value for common factors is 3375.

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 = 29605532653125/(1x3375)

LCM = 29605532653125/3375

LCM = 8772009675

Thus, we can understand that the LCM of 645,165,827,345,975 is 8772009675.

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

• LCM of 187, 539, 230, 382, 395
• LCM of 290, 432, 468, 666, 803
• LCM of 256, 711, 483, 828, 515
• LCM of 383, 487, 233, 753, 606
• LCM of 347, 215, 388, 856, 771

1. What is the LCM of 645, 165, 827, 345, 975?

Answer: LCM of 645, 165, 827, 345, 975 is 8772009675.

2. How to calculate the LCM of 645, 165, 827, 345, 975?

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 645, 165, 827, 345, 975.

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}.