Given numbers are 882,159,936,627,828

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

The LCM of 882,159,936,627,828 is 11684817144.

Find LCM of 882,159,936,627,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 49 x 53 x 26 x 209 x 23 = 11684817144

Therefore, the lowest common multiple of 882,159,936,627,828 is 11684817144.

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.

882 x 159 x 936 x 627 x 828 = 68145853583808

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.

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

159 : 1, 3, 53, 159

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

627 : 1, 3, 11, 19, 33, 57, 209, 627

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,159,936,627,828, is 3.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

159:3x 53

936:2x 2x 2x 3x 3x 13

627:3x 11x 19

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 3x 3x 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

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 = 68145853583808/(3x1944)

LCM = 68145853583808/5832

LCM = 11684817144

Thus, we can understand that the LCM of 882,159,936,627,828 is 11684817144.

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

• LCM of 166, 940, 528, 115, 200
• LCM of 486, 162, 751, 973, 187
• LCM of 161, 284, 623, 123, 657
• LCM of 874, 306, 881, 940, 534
• LCM of 954, 568, 294, 909, 733

1. What is the LCM of 882, 159, 936, 627, 828?

Answer: LCM of 882, 159, 936, 627, 828 is 11684817144.

2. How to calculate the LCM of 882, 159, 936, 627, 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 882, 159, 936, 627, 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}.