Given numbers are 828,529,120,696,706

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

The LCM of 828,529,120,696,706 is 1949534280.

Find LCM of 828,529,120,696,706 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 3 x 23 x 5 x 29 x 353 = 1949534280

Therefore, the lowest common multiple of 828,529,120,696,706 is 1949534280.

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 529 x 120 x 696 x 706 = 25827430141440

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

529 : 1, 23, 529

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,529,120,696,706, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

529:23x 23

120:2x 2x 2x 3x 5

696:2x 2x 2x 3x 29

706:2x 353

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 2x 3x 3x 23 = 13248

Therefore, the value for common factors is 13248.

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 = 25827430141440/(1x13248)

LCM = 25827430141440/13248

LCM = 1949534280

Thus, we can understand that the LCM of 828,529,120,696,706 is 1949534280.

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

• LCM of 132, 898, 908, 749, 772
• LCM of 566, 862, 857, 471, 522
• LCM of 510, 512, 587, 382, 270
• LCM of 990, 585, 807, 884, 320
• LCM of 415, 326, 234, 941, 212

1. What is the LCM of 828, 529, 120, 696, 706?

Answer: LCM of 828, 529, 120, 696, 706 is 1949534280.

2. How to calculate the LCM of 828, 529, 120, 696, 706?

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, 529, 120, 696, 706.

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}.