Given numbers are 772,264,104,269

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

The LCM of 772,264,104,269 is 178179144.

Find LCM of 772,264,104,269 with Prime Factorization

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

2 x 2 x 2 x 193 x 33 x 13 x 269 = 178179144

Therefore, the lowest common multiple of 772,264,104,269 is 178179144.

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.

772 x 264 x 104 x 269 = 5701732608

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.

772 : 1, 2, 4, 193, 386, 772

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

104 : 1, 2, 4, 8, 13, 26, 52, 104

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,264,104,269, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

264:2x 2x 2x 3x 11

104:2x 2x 2x 13

269:269

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

2x 2x 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 5701732608/(1x32)

LCM = 5701732608/32

LCM = 178179144

Thus, we can understand that the LCM of 772,264,104,269 is 178179144.

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

• LCM of 278, 441, 184, 328
• LCM of 660, 267, 191, 645
• LCM of 538, 722, 182, 693
• LCM of 396, 684, 139, 913
• LCM of 510, 496, 354, 483

1. What is the LCM of 772, 264, 104, 269?

Answer: LCM of 772, 264, 104, 269 is 178179144.

2. How to calculate the LCM of 772, 264, 104, 269?

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 772, 264, 104, 269.

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}.