Given numbers are 205,252,975,437

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

The LCM of 205,252,975,437 is 1467402300.

Find LCM of 205,252,975,437 with Prime Factorization

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

3 x 5 x 41 x 84 x 65 x 437 = 1467402300

Therefore, the lowest common multiple of 205,252,975,437 is 1467402300.

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.

205 x 252 x 975 x 437 = 22011034500

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.

205 : 1, 5, 41, 205

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,252,975,437, is 1.

Now, the common factors can be found like this.

205:5x 41

252:2x 2x 3x 3x 7

975:3x 5x 5x 13

437:19x 23

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 22011034500/(1x15)

LCM = 22011034500/15

LCM = 1467402300

Thus, we can understand that the LCM of 205,252,975,437 is 1467402300.

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

• LCM of 430, 839, 563, 783
• LCM of 682, 851, 156, 809
• LCM of 658, 690, 752, 651
• LCM of 967, 708, 217, 826
• LCM of 947, 414, 258, 774

1. What is the LCM of 205, 252, 975, 437?

Answer: LCM of 205, 252, 975, 437 is 1467402300.

2. How to calculate the LCM of 205, 252, 975, 437?

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 205, 252, 975, 437.

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}.