LCM of 893, 754, 663, 731, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 754, 663, 731, 330 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 893, 754, 663, 731, 330. So, keep reading to learn more.
Given numbers are 893,754,663,731,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,754,663,731,330 is 81212733030.
Find LCM of 893,754,663,731,330 with Prime Factorization
| 2 | 893, 754, 663, 731, 330 |
| 3 | 893, 377, 663, 731, 165 |
| 13 | 893, 377, 221, 731, 55 |
| 17 | 893, 29, 17, 731, 55 |
| 893, 29, 1, 43, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 893 x 29 x 1 x 43 x 55 = 81212733030
Therefore, the lowest common multiple of 893,754,663,731,330 is 81212733030.
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.
893 x 754 x 663 x 731 x 330 = 107688083997780
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.
893 : 1, 19, 47, 893
754 : 1, 2, 13, 26, 29, 58, 377, 754
663 : 1, 3, 13, 17, 39, 51, 221, 663
731 : 1, 17, 43, 731
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,754,663,731,330, is 1.
Now, the common factors can be found like this.
893:19x 47
754:2x 13x 29
663:3x 13x 17
731:17x 43
330:2x 3x 5x 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 3x 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 107688083997780/(1x1326)
LCM = 107688083997780/1326
LCM = 81212733030
Thus, we can understand that the LCM of 893,754,663,731,330 is 81212733030.
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FAQs on LCM of 893, 754, 663, 731, 330
1. What is the LCM of 893, 754, 663, 731, 330?
Answer: LCM of 893, 754, 663, 731, 330 is 81212733030.
2. How to calculate the LCM of 893, 754, 663, 731, 330?
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 893, 754, 663, 731, 330.
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}.