LCM of 834, 251, 987, 329, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 251, 987, 329, 944 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 834, 251, 987, 329, 944. So, keep reading to learn more.
Given numbers are 834,251,987,329,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,251,987,329,944 is 32507058192.
Find LCM of 834,251,987,329,944 with Prime Factorization
| 2 | 834, 251, 987, 329, 944 |
| 3 | 417, 251, 987, 329, 472 |
| 7 | 139, 251, 329, 329, 472 |
| 47 | 139, 251, 47, 47, 472 |
| 139, 251, 1, 1, 472 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 47 x 139 x 251 x 1 x 1 x 472 = 32507058192
Therefore, the lowest common multiple of 834,251,987,329,944 is 32507058192.
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.
834 x 251 x 987 x 329 x 944 = 64168932871008
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
251 : 1, 251
987 : 1, 3, 7, 21, 47, 141, 329, 987
329 : 1, 7, 47, 329
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,251,987,329,944, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
251:251
987:3x 7x 47
329:7x 47
944:2x 2x 2x 2x 59
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 47 = 1974
Therefore, the value for common factors is 1974.
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 = 64168932871008/(1x1974)
LCM = 64168932871008/1974
LCM = 32507058192
Thus, we can understand that the LCM of 834,251,987,329,944 is 32507058192.
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FAQs on LCM of 834, 251, 987, 329, 944
1. What is the LCM of 834, 251, 987, 329, 944?
Answer: LCM of 834, 251, 987, 329, 944 is 32507058192.
2. How to calculate the LCM of 834, 251, 987, 329, 944?
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 834, 251, 987, 329, 944.
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}.