LCM of 331, 935, 969, 891, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 331, 935, 969, 891, 820 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 331, 935, 969, 891, 820. So, keep reading to learn more.
Given numbers are 331,935,969,891,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,935,969,891,820 is 78112776060.
Find LCM of 331,935,969,891,820 with Prime Factorization
| 3 | 331, 935, 969, 891, 820 |
| 5 | 331, 935, 323, 297, 820 |
| 11 | 331, 187, 323, 297, 164 |
| 17 | 331, 17, 323, 27, 164 |
| 331, 1, 19, 27, 164 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 17 x 331 x 1 x 19 x 27 x 164 = 78112776060
Therefore, the lowest common multiple of 331,935,969,891,820 is 78112776060.
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.
331 x 935 x 969 x 891 x 820 = 219106336848300
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.
331 : 1, 331
935 : 1, 5, 11, 17, 55, 85, 187, 935
969 : 1, 3, 17, 19, 51, 57, 323, 969
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,935,969,891,820, is 1.
Now, the common factors can be found like this.
331:331
935:5x 11x 17
969:3x 17x 19
891:3x 3x 3x 3x 11
820:2x 2x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11x 17 = 2805
Therefore, the value for common factors is 2805.
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 = 219106336848300/(1x2805)
LCM = 219106336848300/2805
LCM = 78112776060
Thus, we can understand that the LCM of 331,935,969,891,820 is 78112776060.
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FAQs on LCM of 331, 935, 969, 891, 820
1. What is the LCM of 331, 935, 969, 891, 820?
Answer: LCM of 331, 935, 969, 891, 820 is 78112776060.
2. How to calculate the LCM of 331, 935, 969, 891, 820?
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 331, 935, 969, 891, 820.
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}.