LCM of 9, 137, 822, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9, 137, 822, 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 9, 137, 822, 114. So, keep reading to learn more.
Given numbers are 9,137,822,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9,137,822,114 is 46854.
Find LCM of 9,137,822,114 with Prime Factorization
| 2 | 9, 137, 822, 114 |
| 3 | 9, 137, 411, 57 |
| 137 | 3, 137, 137, 19 |
| 3, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 137 x 3 x 1 x 1 x 19 = 46854
Therefore, the lowest common multiple of 9,137,822,114 is 46854.
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.
9 x 137 x 822 x 114 = 115541964
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.
9 : 1, 3, 9
137 : 1, 137
822 : 1, 2, 3, 6, 137, 274, 411, 822
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 9,137,822,114, is 1.
Now, the common factors can be found like this.
9:3x 3
137:137
822:2x 3x 137
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 3x 3x 137 = 2466
Therefore, the value for common factors is 2466.
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 = 115541964/(1x2466)
LCM = 115541964/2466
LCM = 46854
Thus, we can understand that the LCM of 9,137,822,114 is 46854.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 9, 137, 822, 114
1. What is the LCM of 9, 137, 822, 114?
Answer: LCM of 9, 137, 822, 114 is 46854.
2. How to calculate the LCM of 9, 137, 822, 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 9, 137, 822, 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}.