Given numbers are 828,936,638,197,174

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

The LCM of 828,936,638,197,174 is 1352884104.

Find LCM of 828,936,638,197,174 with Prime Factorization

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

2 x 2 x 3 x 3 x 29 x 23 x 26 x 11 x 197 x 1 = 1352884104

Therefore, the lowest common multiple of 828,936,638,197,174 is 1352884104.

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 936 x 638 x 197 x 174 = 16948932054912

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

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

197 : 1, 197

174 : 1, 2, 3, 6, 29, 58, 87, 174

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,936,638,197,174, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

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

638:2x 11x 29

197:197

174:2x 3x 29

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 29 = 12528

Therefore, the value for common factors is 12528.

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 = 16948932054912/(1x12528)

LCM = 16948932054912/12528

LCM = 1352884104

Thus, we can understand that the LCM of 828,936,638,197,174 is 1352884104.

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

• LCM of 704, 933, 739, 677, 572
• LCM of 987, 532, 853, 802, 723
• LCM of 684, 215, 563, 681, 782
• LCM of 588, 261, 578, 901, 269
• LCM of 505, 882, 880, 173, 760

1. What is the LCM of 828, 936, 638, 197, 174?

Answer: LCM of 828, 936, 638, 197, 174 is 1352884104.

2. How to calculate the LCM of 828, 936, 638, 197, 174?

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, 936, 638, 197, 174.

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}.