LCM of 292, 822, 959, 609, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 822, 959, 609, 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 292, 822, 959, 609, 876. So, keep reading to learn more.
Given numbers are 292,822,959,609,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,822,959,609,876 is 24362436.
Find LCM of 292,822,959,609,876 with Prime Factorization
| 2 | 292, 822, 959, 609, 876 |
| 2 | 146, 411, 959, 609, 438 |
| 3 | 73, 411, 959, 609, 219 |
| 7 | 73, 137, 959, 203, 73 |
| 73 | 73, 137, 137, 29, 73 |
| 137 | 1, 137, 137, 29, 1 |
| 1, 1, 1, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 73 x 137 x 1 x 1 x 1 x 29 x 1 = 24362436
Therefore, the lowest common multiple of 292,822,959,609,876 is 24362436.
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.
292 x 822 x 959 x 609 x 876 = 122798956107744
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.
292 : 1, 2, 4, 73, 146, 292
822 : 1, 2, 3, 6, 137, 274, 411, 822
959 : 1, 7, 137, 959
609 : 1, 3, 7, 21, 29, 87, 203, 609
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 292,822,959,609,876, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
822:2x 3x 137
959:7x 137
609:3x 7x 29
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 7x 73x 137 = 5040504
Therefore, the value for common factors is 5040504.
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 = 122798956107744/(1x5040504)
LCM = 122798956107744/5040504
LCM = 24362436
Thus, we can understand that the LCM of 292,822,959,609,876 is 24362436.
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FAQs on LCM of 292, 822, 959, 609, 876
1. What is the LCM of 292, 822, 959, 609, 876?
Answer: LCM of 292, 822, 959, 609, 876 is 24362436.
2. How to calculate the LCM of 292, 822, 959, 609, 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 292, 822, 959, 609, 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}.