LCM of 111, 684, 354, 529, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 684, 354, 529, 828 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 111, 684, 354, 529, 828. So, keep reading to learn more.
Given numbers are 111,684,354,529,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,684,354,529,828 is 789887988.
Find LCM of 111,684,354,529,828 with Prime Factorization
| 2 | 111, 684, 354, 529, 828 |
| 2 | 111, 342, 177, 529, 414 |
| 3 | 111, 171, 177, 529, 207 |
| 3 | 37, 57, 59, 529, 69 |
| 23 | 37, 19, 59, 529, 23 |
| 37, 19, 59, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 37 x 19 x 59 x 1 x 23 = 789887988
Therefore, the lowest common multiple of 111,684,354,529,828 is 789887988.
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.
111 x 684 x 354 x 529 x 828 = 11772490573152
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.
111 : 1, 3, 37, 111
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
354 : 1, 2, 3, 6, 59, 118, 177, 354
529 : 1, 23, 529
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,684,354,529,828, is 1.
Now, the common factors can be found like this.
111:3x 37
684:2x 2x 3x 3x 19
354:2x 3x 59
529:23x 23
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 23 = 14904
Therefore, the value for common factors is 14904.
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 = 11772490573152/(1x14904)
LCM = 11772490573152/14904
LCM = 789887988
Thus, we can understand that the LCM of 111,684,354,529,828 is 789887988.
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FAQs on LCM of 111, 684, 354, 529, 828
1. What is the LCM of 111, 684, 354, 529, 828?
Answer: LCM of 111, 684, 354, 529, 828 is 789887988.
2. How to calculate the LCM of 111, 684, 354, 529, 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 111, 684, 354, 529, 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}.