LCM of 535, 115, 676, 981, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 115, 676, 981, 704 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 535, 115, 676, 981, 704. So, keep reading to learn more.
Given numbers are 535,115,676,981,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,115,676,981,704 is 1436183686080.
Find LCM of 535,115,676,981,704 with Prime Factorization
| 2 | 535, 115, 676, 981, 704 |
| 2 | 535, 115, 338, 981, 352 |
| 5 | 535, 115, 169, 981, 176 |
| 107, 23, 169, 981, 176 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 107 x 23 x 169 x 981 x 176 = 1436183686080
Therefore, the lowest common multiple of 535,115,676,981,704 is 1436183686080.
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.
535 x 115 x 676 x 981 x 704 = 28723673721600
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.
535 : 1, 5, 107, 535
115 : 1, 5, 23, 115
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
981 : 1, 3, 9, 109, 327, 981
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,115,676,981,704, is 1.
Now, the common factors can be found like this.
535:5x 107
115:5x 23
676:2x 2x 13x 13
981:3x 3x 109
704:2x 2x 2x 2x 2x 2x 11
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 5 = 20
Therefore, the value for common factors is 20.
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 = 28723673721600/(1x20)
LCM = 28723673721600/20
LCM = 1436183686080
Thus, we can understand that the LCM of 535,115,676,981,704 is 1436183686080.
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FAQs on LCM of 535, 115, 676, 981, 704
1. What is the LCM of 535, 115, 676, 981, 704?
Answer: LCM of 535, 115, 676, 981, 704 is 1436183686080.
2. How to calculate the LCM of 535, 115, 676, 981, 704?
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 535, 115, 676, 981, 704.
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}.