LCM of 834, 974, 872, 872, 344
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 974, 872, 872, 344 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, 974, 872, 872, 344. So, keep reading to learn more.
Given numbers are 834,974,872,872,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,974,872,872,344 is 7614650184.
Find LCM of 834,974,872,872,344 with Prime Factorization
| 2 | 834, 974, 872, 872, 344 |
| 2 | 417, 487, 436, 436, 172 |
| 2 | 417, 487, 218, 218, 86 |
| 109 | 417, 487, 109, 109, 43 |
| 417, 487, 1, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 109 x 417 x 487 x 1 x 1 x 43 = 7614650184
Therefore, the lowest common multiple of 834,974,872,872,344 is 7614650184.
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 974 x 872 x 872 x 344 = 212479198734336
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
974 : 1, 2, 487, 974
872 : 1, 2, 4, 8, 109, 218, 436, 872
872 : 1, 2, 4, 8, 109, 218, 436, 872
344 : 1, 2, 4, 8, 43, 86, 172, 344
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,974,872,872,344, is 2.
Now, the common factors can be found like this.
834:2x 3x 139
974:2x 487
872:2x 2x 2x 109
872:2x 2x 2x 109
344:2x 2x 2x 43
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 2x 2x 2x 2x 109 = 13952
Therefore, the value for common factors is 13952.
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 = 212479198734336/(2x13952)
LCM = 212479198734336/27904
LCM = 7614650184
Thus, we can understand that the LCM of 834,974,872,872,344 is 7614650184.
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FAQs on LCM of 834, 974, 872, 872, 344
1. What is the LCM of 834, 974, 872, 872, 344?
Answer: LCM of 834, 974, 872, 872, 344 is 7614650184.
2. How to calculate the LCM of 834, 974, 872, 872, 344?
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, 974, 872, 872, 344.
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}.