Given numbers are 269,753,269,345,486

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

The LCM of 269,753,269,345,486 is 3773636910.

Find LCM of 269,753,269,345,486 with Prime Factorization

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

3 x 269 x 1 x 251 x 1 x 115 x 162 = 3773636910

Therefore, the lowest common multiple of 269,753,269,345,486 is 3773636910.

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.

269 x 753 x 269 x 345 x 486 = 9135974959110

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.

269 : 1, 269

753 : 1, 3, 251, 753

269 : 1, 269

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

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,753,269,345,486, is 1.

Now, the common factors can be found like this.

269:269

753:3x 251

269:269

345:3x 5x 23

486:2x 3x 3x 3x 3x 3

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 269 = 2421

Therefore, the value for common factors is 2421.

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 = 9135974959110/(1x2421)

LCM = 9135974959110/2421

LCM = 3773636910

Thus, we can understand that the LCM of 269,753,269,345,486 is 3773636910.

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

• LCM of 423, 572, 571, 394, 626
• LCM of 947, 756, 621, 358, 401
• LCM of 668, 561, 319, 771, 482
• LCM of 610, 350, 818, 172, 659
• LCM of 290, 936, 489, 374, 940

1. What is the LCM of 269, 753, 269, 345, 486?

Answer: LCM of 269, 753, 269, 345, 486 is 3773636910.

2. How to calculate the LCM of 269, 753, 269, 345, 486?

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 269, 753, 269, 345, 486.

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}.