LCM of 949, 452, 191, 384, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 452, 191, 384, 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 949, 452, 191, 384, 904. So, keep reading to learn more.
Given numbers are 949,452,191,384,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,452,191,384,904 is 7865190528.
Find LCM of 949,452,191,384,904 with Prime Factorization
| 2 | 949, 452, 191, 384, 904 |
| 2 | 949, 226, 191, 192, 452 |
| 2 | 949, 113, 191, 96, 226 |
| 113 | 949, 113, 191, 48, 113 |
| 949, 1, 191, 48, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 113 x 949 x 1 x 191 x 48 x 1 = 7865190528
Therefore, the lowest common multiple of 949,452,191,384,904 is 7865190528.
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.
949 x 452 x 191 x 384 x 904 = 28440528949248
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.
949 : 1, 13, 73, 949
452 : 1, 2, 4, 113, 226, 452
191 : 1, 191
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
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 949,452,191,384,904, is 1.
Now, the common factors can be found like this.
949:13x 73
452:2x 2x 113
191:191
384:2x 2x 2x 2x 2x 2x 2x 3
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 2x 2x 2x 2x 113 = 3616
Therefore, the value for common factors is 3616.
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 = 28440528949248/(1x3616)
LCM = 28440528949248/3616
LCM = 7865190528
Thus, we can understand that the LCM of 949,452,191,384,904 is 7865190528.
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FAQs on LCM of 949, 452, 191, 384, 904
1. What is the LCM of 949, 452, 191, 384, 904?
Answer: LCM of 949, 452, 191, 384, 904 is 7865190528.
2. How to calculate the LCM of 949, 452, 191, 384, 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 949, 452, 191, 384, 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}.