Given numbers are 208,221,975

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

The LCM of 208,221,975 is 265200.

Find LCM of 208,221,975 with Prime Factorization

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

13 x 16 x 17 x 75 = 265200

Therefore, the lowest common multiple of 208,221,975 is 265200.

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.

208 x 221 x 975 = 44818800

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

221 : 1, 13, 17, 221

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

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,221,975, is 13.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

221:13x 17

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.

13 = 13

Therefore, the value for common factors is 13.

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 = 44818800/(13x13)

LCM = 44818800/169

LCM = 265200

Thus, we can understand that the LCM of 208,221,975 is 265200.

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

• LCM of 767, 126, 549
• LCM of 361, 603, 465
• LCM of 532, 526, 603
• LCM of 182, 145, 242
• LCM of 833, 773, 787

1. What is the LCM of 208, 221, 975?

Answer: LCM of 208, 221, 975 is 265200.

2. How to calculate the LCM of 208, 221, 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 208, 221, 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}.