Given numbers are 828,182,582,536,882

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

The LCM of 828,182,582,536,882 is 6855613128.

Find LCM of 828,182,582,536,882 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 23 x 13 x 97 x 134 x 7 = 6855613128

Therefore, the lowest common multiple of 828,182,582,536,882 is 6855613128.

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 182 x 582 x 536 x 882 = 41462748198144

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

582 : 1, 2, 3, 6, 97, 194, 291, 582

536 : 1, 2, 4, 8, 67, 134, 268, 536

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,182,582,536,882, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

182:2x 7x 13

582:2x 3x 97

536:2x 2x 2x 67

882:2x 3x 3x 7x 7

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 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 41462748198144/(2x3024)

LCM = 41462748198144/6048

LCM = 6855613128

Thus, we can understand that the LCM of 828,182,582,536,882 is 6855613128.

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

• LCM of 353, 301, 342, 882, 153
• LCM of 726, 884, 404, 514, 646
• LCM of 470, 584, 194, 109, 866
• LCM of 625, 447, 763, 255, 138
• LCM of 204, 712, 931, 474, 659

1. What is the LCM of 828, 182, 582, 536, 882?

Answer: LCM of 828, 182, 582, 536, 882 is 6855613128.

2. How to calculate the LCM of 828, 182, 582, 536, 882?

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, 182, 582, 536, 882.

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}.