Given numbers are 269,272,117,567

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

The LCM of 269,272,117,567 is 539321328.

Find LCM of 269,272,117,567 with Prime Factorization

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

3 x 3 x 269 x 272 x 13 x 63 = 539321328

Therefore, the lowest common multiple of 269,272,117,567 is 539321328.

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 272 x 117 x 567 = 4853891952

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

117 : 1, 3, 9, 13, 39, 117

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,272,117,567, is 1.

Now, the common factors can be found like this.

269:269

272:2x 2x 2x 2x 17

117:3x 3x 13

567:3x 3x 3x 3x 7

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 4853891952/(1x9)

LCM = 4853891952/9

LCM = 539321328

Thus, we can understand that the LCM of 269,272,117,567 is 539321328.

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

• LCM of 668, 360, 858, 301
• LCM of 832, 780, 805, 125
• LCM of 420, 960, 394, 693
• LCM of 504, 224, 349, 250
• LCM of 211, 419, 858, 586

1. What is the LCM of 269, 272, 117, 567?

Answer: LCM of 269, 272, 117, 567 is 539321328.

2. How to calculate the LCM of 269, 272, 117, 567?

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, 272, 117, 567.

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}.