Given numbers are 756,209,266,469,975

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

The LCM of 756,209,266,469,975 is 3440537100.

Find LCM of 756,209,266,469,975 with Prime Factorization

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

2 x 3 x 7 x 19 x 18 x 11 x 1 x 67 x 325 = 3440537100

Therefore, the lowest common multiple of 756,209,266,469,975 is 3440537100.

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.

756 x 209 x 266 x 469 x 975 = 19218840240600

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

209 : 1, 11, 19, 209

266 : 1, 2, 7, 14, 19, 38, 133, 266

469 : 1, 7, 67, 469

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 756,209,266,469,975, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

209:11x 19

266:2x 7x 19

469:7x 67

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.

2x 3x 7x 7x 19 = 5586

Therefore, the value for common factors is 5586.

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 = 19218840240600/(1x5586)

LCM = 19218840240600/5586

LCM = 3440537100

Thus, we can understand that the LCM of 756,209,266,469,975 is 3440537100.

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

• LCM of 806, 577, 961, 243, 178
• LCM of 738, 990, 376, 254, 164
• LCM of 254, 323, 703, 468, 522
• LCM of 121, 410, 450, 639, 240
• LCM of 935, 732, 733, 470, 331

1. What is the LCM of 756, 209, 266, 469, 975?

Answer: LCM of 756, 209, 266, 469, 975 is 3440537100.

2. How to calculate the LCM of 756, 209, 266, 469, 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 756, 209, 266, 469, 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}.