Given numbers are 828,544,241,524,461

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

The LCM of 828,544,241,524,461 is 1638922844448.

Find LCM of 828,544,241,524,461 with Prime Factorization

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

2 x 2 x 207 x 136 x 241 x 131 x 461 = 1638922844448

Therefore, the lowest common multiple of 828,544,241,524,461 is 1638922844448.

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 544 x 241 x 524 x 461 = 26222765511168

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

241 : 1, 241

524 : 1, 2, 4, 131, 262, 524

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,544,241,524,461, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

544:2x 2x 2x 2x 2x 17

241:241

524:2x 2x 131

461:461

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 2 = 16

Therefore, the value for common factors is 16.

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 = 26222765511168/(1x16)

LCM = 26222765511168/16

LCM = 1638922844448

Thus, we can understand that the LCM of 828,544,241,524,461 is 1638922844448.

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

• LCM of 768, 358, 832, 951, 491
• LCM of 815, 389, 668, 382, 684
• LCM of 245, 984, 945, 344, 268
• LCM of 812, 891, 280, 742, 209
• LCM of 434, 834, 113, 597, 534

1. What is the LCM of 828, 544, 241, 524, 461?

Answer: LCM of 828, 544, 241, 524, 461 is 1638922844448.

2. How to calculate the LCM of 828, 544, 241, 524, 461?

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, 544, 241, 524, 461.

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}.