LCM of 882, 793, 598, 834, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 793, 598, 834, 114 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 882, 793, 598, 834, 114. So, keep reading to learn more.
Given numbers are 882,793,598,834,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,793,598,834,114 is 42485233518.
Find LCM of 882,793,598,834,114 with Prime Factorization
| 2 | 882, 793, 598, 834, 114 |
| 3 | 441, 793, 299, 417, 57 |
| 13 | 147, 793, 299, 139, 19 |
| 147, 61, 23, 139, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 147 x 61 x 23 x 139 x 19 = 42485233518
Therefore, the lowest common multiple of 882,793,598,834,114 is 42485233518.
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 793 x 598 x 834 x 114 = 39766178572848
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
793 : 1, 13, 61, 793
598 : 1, 2, 13, 23, 26, 46, 299, 598
834 : 1, 2, 3, 6, 139, 278, 417, 834
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,793,598,834,114, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
793:13x 61
598:2x 13x 23
834:2x 3x 139
114:2x 3x 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 3x 3x 13 = 936
Therefore, the value for common factors is 936.
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 = 39766178572848/(1x936)
LCM = 39766178572848/936
LCM = 42485233518
Thus, we can understand that the LCM of 882,793,598,834,114 is 42485233518.
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FAQs on LCM of 882, 793, 598, 834, 114
1. What is the LCM of 882, 793, 598, 834, 114?
Answer: LCM of 882, 793, 598, 834, 114 is 42485233518.
2. How to calculate the LCM of 882, 793, 598, 834, 114?
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, 793, 598, 834, 114.
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}.