Given numbers are 975,189,728,201,652

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

The LCM of 975,189,728,201,652 is 5366579400.

Find LCM of 975,189,728,201,652 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 25 x 9 x 2 x 67 x 163 = 5366579400

Therefore, the lowest common multiple of 975,189,728,201,652 is 5366579400.

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.

975 x 189 x 728 x 201 x 652 = 17580914114400

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.

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

189 : 1, 3, 7, 9, 21, 27, 63, 189

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

201 : 1, 3, 67, 201

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,189,728,201,652, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

189:3x 3x 3x 7

728:2x 2x 2x 7x 13

201:3x 67

652:2x 2x 163

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 7x 13 = 3276

Therefore, the value for common factors is 3276.

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 = 17580914114400/(1x3276)

LCM = 17580914114400/3276

LCM = 5366579400

Thus, we can understand that the LCM of 975,189,728,201,652 is 5366579400.

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

• LCM of 134, 838, 508, 278, 995
• LCM of 469, 600, 928, 518, 439
• LCM of 729, 163, 476, 278, 392
• LCM of 869, 669, 461, 671, 918
• LCM of 522, 264, 839, 333, 101

1. What is the LCM of 975, 189, 728, 201, 652?

Answer: LCM of 975, 189, 728, 201, 652 is 5366579400.

2. How to calculate the LCM of 975, 189, 728, 201, 652?

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 975, 189, 728, 201, 652.

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}.