LCM of 363, 981, 440, 806, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 981, 440, 806, 351 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 363, 981, 440, 806, 351. So, keep reading to learn more.
Given numbers are 363,981,440,806,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,981,440,806,351 is 5740380360.
Find LCM of 363,981,440,806,351 with Prime Factorization
| 2 | 363, 981, 440, 806, 351 |
| 3 | 363, 981, 220, 403, 351 |
| 3 | 121, 327, 220, 403, 117 |
| 11 | 121, 109, 220, 403, 39 |
| 13 | 11, 109, 20, 403, 39 |
| 11, 109, 20, 31, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 11 x 109 x 20 x 31 x 3 = 5740380360
Therefore, the lowest common multiple of 363,981,440,806,351 is 5740380360.
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.
363 x 981 x 440 x 806 x 351 = 44327217139920
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.
363 : 1, 3, 11, 33, 121, 363
981 : 1, 3, 9, 109, 327, 981
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
806 : 1, 2, 13, 26, 31, 62, 403, 806
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,981,440,806,351, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
981:3x 3x 109
440:2x 2x 2x 5x 11
806:2x 13x 31
351:3x 3x 3x 13
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 3x 3x 11x 13 = 7722
Therefore, the value for common factors is 7722.
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 = 44327217139920/(1x7722)
LCM = 44327217139920/7722
LCM = 5740380360
Thus, we can understand that the LCM of 363,981,440,806,351 is 5740380360.
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FAQs on LCM of 363, 981, 440, 806, 351
1. What is the LCM of 363, 981, 440, 806, 351?
Answer: LCM of 363, 981, 440, 806, 351 is 5740380360.
2. How to calculate the LCM of 363, 981, 440, 806, 351?
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 363, 981, 440, 806, 351.
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}.