LCM of 828, 194, 836, 736, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 194, 836, 736, 627 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 828, 194, 836, 736, 627. So, keep reading to learn more.
Given numbers are 828,194,836,736,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,194,836,736,627 is 134288352.
Find LCM of 828,194,836,736,627 with Prime Factorization
| 2 | 828, 194, 836, 736, 627 |
| 2 | 414, 97, 418, 368, 627 |
| 3 | 207, 97, 209, 184, 627 |
| 11 | 69, 97, 209, 184, 209 |
| 19 | 69, 97, 19, 184, 19 |
| 23 | 69, 97, 1, 184, 1 |
| 3, 97, 1, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 23 x 3 x 97 x 1 x 8 x 1 = 134288352
Therefore, the lowest common multiple of 828,194,836,736,627 is 134288352.
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 194 x 836 x 736 x 627 = 61970314374144
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
194 : 1, 2, 97, 194
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,194,836,736,627, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
194:2x 97
836:2x 2x 11x 19
736:2x 2x 2x 2x 2x 23
627:3x 11x 19
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 3x 11x 19x 23 = 461472
Therefore, the value for common factors is 461472.
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 = 61970314374144/(1x461472)
LCM = 61970314374144/461472
LCM = 134288352
Thus, we can understand that the LCM of 828,194,836,736,627 is 134288352.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 828, 194, 836, 736, 627
1. What is the LCM of 828, 194, 836, 736, 627?
Answer: LCM of 828, 194, 836, 736, 627 is 134288352.
2. How to calculate the LCM of 828, 194, 836, 736, 627?
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, 194, 836, 736, 627.
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}.