Given numbers are 828,552,249,976

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

The LCM of 828,552,249,976 is 16768656.

Find LCM of 828,552,249,976 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 1 x 3 x 83 x 122 = 16768656

Therefore, the lowest common multiple of 828,552,249,976 is 16768656.

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.

828 x 552 x 249 x 976 = 111075577344

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.

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

249 : 1, 3, 83, 249

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,552,249,976, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

552:2x 2x 2x 3x 23

249:3x 83

976:2x 2x 2x 2x 61

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 2x 3x 3x 23 = 6624

Therefore, the value for common factors is 6624.

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 = 111075577344/(1x6624)

LCM = 111075577344/6624

LCM = 16768656

Thus, we can understand that the LCM of 828,552,249,976 is 16768656.

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

• LCM of 557, 691, 120, 546
• LCM of 309, 191, 727, 973
• LCM of 581, 604, 998, 727
• LCM of 592, 809, 500, 623
• LCM of 263, 932, 961, 840

1. What is the LCM of 828, 552, 249, 976?

Answer: LCM of 828, 552, 249, 976 is 16768656.

2. How to calculate the LCM of 828, 552, 249, 976?

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 828, 552, 249, 976.

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}.