LCM of 908, 681, 231, 742, 233
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 908, 681, 231, 742, 233 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 908, 681, 231, 742, 233. So, keep reading to learn more.
Given numbers are 908,681,231,742,233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 908,681,231,742,233 is 2590178052.
Find LCM of 908,681,231,742,233 with Prime Factorization
| 2 | 908, 681, 231, 742, 233 |
| 3 | 454, 681, 231, 371, 233 |
| 7 | 454, 227, 77, 371, 233 |
| 227 | 454, 227, 11, 53, 233 |
| 2, 1, 11, 53, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 227 x 2 x 1 x 11 x 53 x 233 = 2590178052
Therefore, the lowest common multiple of 908,681,231,742,233 is 2590178052.
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.
908 x 681 x 231 x 742 x 233 = 24694757547768
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.
908 : 1, 2, 4, 227, 454, 908
681 : 1, 3, 227, 681
231 : 1, 3, 7, 11, 21, 33, 77, 231
742 : 1, 2, 7, 14, 53, 106, 371, 742
233 : 1, 233
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,681,231,742,233, is 1.
Now, the common factors can be found like this.
908:2x 2x 227
681:3x 227
231:3x 7x 11
742:2x 7x 53
233:233
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 7x 227 = 9534
Therefore, the value for common factors is 9534.
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 = 24694757547768/(1x9534)
LCM = 24694757547768/9534
LCM = 2590178052
Thus, we can understand that the LCM of 908,681,231,742,233 is 2590178052.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 908, 681, 231, 742, 233
1. What is the LCM of 908, 681, 231, 742, 233?
Answer: LCM of 908, 681, 231, 742, 233 is 2590178052.
2. How to calculate the LCM of 908, 681, 231, 742, 233?
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 908, 681, 231, 742, 233.
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}.