Given numbers are 269,187,224,935

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

The LCM of 269,187,224,935 is 56339360.

Find LCM of 269,187,224,935 with Prime Factorization

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

11 x 17 x 269 x 1 x 224 x 5 = 56339360

Therefore, the lowest common multiple of 269,187,224,935 is 56339360.

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 187 x 224 x 935 = 10535460320

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

187 : 1, 11, 17, 187

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,187,224,935, is 1.

Now, the common factors can be found like this.

269:269

187:11x 17

224:2x 2x 2x 2x 2x 7

935:5x 11x 17

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

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 10535460320/(1x187)

LCM = 10535460320/187

LCM = 56339360

Thus, we can understand that the LCM of 269,187,224,935 is 56339360.

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

• LCM of 924, 208, 851, 390
• LCM of 745, 381, 988, 812
• LCM of 884, 152, 114, 177
• LCM of 226, 833, 559, 471
• LCM of 261, 124, 505, 406

1. What is the LCM of 269, 187, 224, 935?

Answer: LCM of 269, 187, 224, 935 is 56339360.

2. How to calculate the LCM of 269, 187, 224, 935?

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, 187, 224, 935.

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}.