LCM of 923, 231, 946, 572, 661
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 231, 946, 572, 661 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 923, 231, 946, 572, 661. So, keep reading to learn more.
Given numbers are 923,231,946,572,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,231,946,572,661 is 24240612396.
Find LCM of 923,231,946,572,661 with Prime Factorization
| 2 | 923, 231, 946, 572, 661 |
| 11 | 923, 231, 473, 286, 661 |
| 13 | 923, 21, 43, 26, 661 |
| 71, 21, 43, 2, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 71 x 21 x 43 x 2 x 661 = 24240612396
Therefore, the lowest common multiple of 923,231,946,572,661 is 24240612396.
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.
923 x 231 x 946 x 572 x 661 = 76260966597816
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.
923 : 1, 13, 71, 923
231 : 1, 3, 7, 11, 21, 33, 77, 231
946 : 1, 2, 11, 22, 43, 86, 473, 946
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,231,946,572,661, is 1.
Now, the common factors can be found like this.
923:13x 71
231:3x 7x 11
946:2x 11x 43
572:2x 2x 11x 13
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 13 = 3146
Therefore, the value for common factors is 3146.
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 = 76260966597816/(1x3146)
LCM = 76260966597816/3146
LCM = 24240612396
Thus, we can understand that the LCM of 923,231,946,572,661 is 24240612396.
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FAQs on LCM of 923, 231, 946, 572, 661
1. What is the LCM of 923, 231, 946, 572, 661?
Answer: LCM of 923, 231, 946, 572, 661 is 24240612396.
2. How to calculate the LCM of 923, 231, 946, 572, 661?
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 923, 231, 946, 572, 661.
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}.