Given numbers are 269,572,260,984

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

The LCM of 269,572,260,984 is 189257640.

Find LCM of 269,572,260,984 with Prime Factorization

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

2 x 2 x 13 x 269 x 11 x 5 x 246 = 189257640

Therefore, the lowest common multiple of 269,572,260,984 is 189257640.

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 572 x 260 x 984 = 39365589120

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

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,572,260,984, is 1.

Now, the common factors can be found like this.

269:269

572:2x 2x 11x 13

260:2x 2x 5x 13

984:2x 2x 2x 3x 41

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 13 = 208

Therefore, the value for common factors is 208.

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 = 39365589120/(1x208)

LCM = 39365589120/208

LCM = 189257640

Thus, we can understand that the LCM of 269,572,260,984 is 189257640.

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

• LCM of 947, 456, 929, 558
• LCM of 228, 827, 870, 889
• LCM of 621, 308, 748, 567
• LCM of 709, 600, 427, 961
• LCM of 562, 219, 690, 493

1. What is the LCM of 269, 572, 260, 984?

Answer: LCM of 269, 572, 260, 984 is 189257640.

2. How to calculate the LCM of 269, 572, 260, 984?

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, 572, 260, 984.

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}.