LCM of 438, 346, 657, 954, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 438, 346, 657, 954, 876 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 438, 346, 657, 954, 876. So, keep reading to learn more.
Given numbers are 438,346,657,954,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,346,657,954,876 is 24096132.
Find LCM of 438,346,657,954,876 with Prime Factorization
| 2 | 438, 346, 657, 954, 876 |
| 3 | 219, 173, 657, 477, 438 |
| 3 | 73, 173, 219, 159, 146 |
| 73 | 73, 173, 73, 53, 146 |
| 1, 173, 1, 53, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 73 x 1 x 173 x 1 x 53 x 2 = 24096132
Therefore, the lowest common multiple of 438,346,657,954,876 is 24096132.
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.
438 x 346 x 657 x 954 x 876 = 83208570253344
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
346 : 1, 2, 173, 346
657 : 1, 3, 9, 73, 219, 657
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,346,657,954,876, is 1.
Now, the common factors can be found like this.
438:2x 3x 73
346:2x 173
657:3x 3x 73
954:2x 3x 3x 53
876:2x 2x 3x 73
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 73x 73 = 3453192
Therefore, the value for common factors is 3453192.
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 = 83208570253344/(1x3453192)
LCM = 83208570253344/3453192
LCM = 24096132
Thus, we can understand that the LCM of 438,346,657,954,876 is 24096132.
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FAQs on LCM of 438, 346, 657, 954, 876
1. What is the LCM of 438, 346, 657, 954, 876?
Answer: LCM of 438, 346, 657, 954, 876 is 24096132.
2. How to calculate the LCM of 438, 346, 657, 954, 876?
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 438, 346, 657, 954, 876.
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}.