LCM of 271, 410, 735, 969, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 271, 410, 735, 969, 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 271, 410, 735, 969, 904. So, keep reading to learn more.
Given numbers are 271,410,735,969,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 271,410,735,969,904 is 2384577487320.
Find LCM of 271,410,735,969,904 with Prime Factorization
| 2 | 271, 410, 735, 969, 904 |
| 3 | 271, 205, 735, 969, 452 |
| 5 | 271, 205, 245, 323, 452 |
| 271, 41, 49, 323, 452 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 271 x 41 x 49 x 323 x 452 = 2384577487320
Therefore, the lowest common multiple of 271,410,735,969,904 is 2384577487320.
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.
271 x 410 x 735 x 969 x 904 = 71537324619600
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.
271 : 1, 271
410 : 1, 2, 5, 10, 41, 82, 205, 410
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
969 : 1, 3, 17, 19, 51, 57, 323, 969
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 271,410,735,969,904, is 1.
Now, the common factors can be found like this.
271:271
410:2x 5x 41
735:3x 5x 7x 7
969:3x 17x 19
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 5 = 30
Therefore, the value for common factors is 30.
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 = 71537324619600/(1x30)
LCM = 71537324619600/30
LCM = 2384577487320
Thus, we can understand that the LCM of 271,410,735,969,904 is 2384577487320.
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FAQs on LCM of 271, 410, 735, 969, 904
1. What is the LCM of 271, 410, 735, 969, 904?
Answer: LCM of 271, 410, 735, 969, 904 is 2384577487320.
2. How to calculate the LCM of 271, 410, 735, 969, 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 271, 410, 735, 969, 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}.