Given numbers are 264,276,409,828

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

The LCM of 264,276,409,828 is 7450344.

Find LCM of 264,276,409,828 with Prime Factorization

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

2 x 2 x 3 x 23 x 22 x 1 x 409 x 3 = 7450344

Therefore, the lowest common multiple of 264,276,409,828 is 7450344.

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.

264 x 276 x 409 x 828 = 24675539328

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.

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

409 : 1, 409

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,276,409,828, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

276:2x 2x 3x 23

409:409

828:2x 2x 3x 3x 23

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 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 24675539328/(1x3312)

LCM = 24675539328/3312

LCM = 7450344

Thus, we can understand that the LCM of 264,276,409,828 is 7450344.

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

• LCM of 201, 107, 252, 716
• LCM of 116, 575, 607, 399
• LCM of 960, 606, 450, 150
• LCM of 909, 544, 589, 322
• LCM of 787, 300, 744, 720

1. What is the LCM of 264, 276, 409, 828?

Answer: LCM of 264, 276, 409, 828 is 7450344.

2. How to calculate the LCM of 264, 276, 409, 828?

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 264, 276, 409, 828.

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}.