LCM of 234, 379, 585, 689, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 379, 585, 689, 904 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 234, 379, 585, 689, 904. So, keep reading to learn more.
Given numbers are 234,379,585,689,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,379,585,689,904 is 10622809080.
Find LCM of 234,379,585,689,904 with Prime Factorization
| 2 | 234, 379, 585, 689, 904 |
| 3 | 117, 379, 585, 689, 452 |
| 3 | 39, 379, 195, 689, 452 |
| 13 | 13, 379, 65, 689, 452 |
| 1, 379, 5, 53, 452 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 1 x 379 x 5 x 53 x 452 = 10622809080
Therefore, the lowest common multiple of 234,379,585,689,904 is 10622809080.
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.
234 x 379 x 585 x 689 x 904 = 32314585221360
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
379 : 1, 379
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
689 : 1, 13, 53, 689
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,379,585,689,904, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
379:379
585:3x 3x 5x 13
689:13x 53
904:2x 2x 2x 113
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 13x 13 = 3042
Therefore, the value for common factors is 3042.
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 = 32314585221360/(1x3042)
LCM = 32314585221360/3042
LCM = 10622809080
Thus, we can understand that the LCM of 234,379,585,689,904 is 10622809080.
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FAQs on LCM of 234, 379, 585, 689, 904
1. What is the LCM of 234, 379, 585, 689, 904?
Answer: LCM of 234, 379, 585, 689, 904 is 10622809080.
2. How to calculate the LCM of 234, 379, 585, 689, 904?
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 234, 379, 585, 689, 904.
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}.