LCM of 993, 748, 858, 965, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 748, 858, 965, 905 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 993, 748, 858, 965, 905. So, keep reading to learn more.
Given numbers are 993,748,858,965,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,748,858,965,905 is 1686553362780.
Find LCM of 993,748,858,965,905 with Prime Factorization
| 2 | 993, 748, 858, 965, 905 |
| 3 | 993, 374, 429, 965, 905 |
| 5 | 331, 374, 143, 965, 905 |
| 11 | 331, 374, 143, 193, 181 |
| 331, 34, 13, 193, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 331 x 34 x 13 x 193 x 181 = 1686553362780
Therefore, the lowest common multiple of 993,748,858,965,905 is 1686553362780.
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.
993 x 748 x 858 x 965 x 905 = 556562609717400
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.
993 : 1, 3, 331, 993
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
965 : 1, 5, 193, 965
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,748,858,965,905, is 1.
Now, the common factors can be found like this.
993:3x 331
748:2x 2x 11x 17
858:2x 3x 11x 13
965:5x 193
905:5x 181
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 5x 11 = 330
Therefore, the value for common factors is 330.
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 = 556562609717400/(1x330)
LCM = 556562609717400/330
LCM = 1686553362780
Thus, we can understand that the LCM of 993,748,858,965,905 is 1686553362780.
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FAQs on LCM of 993, 748, 858, 965, 905
1. What is the LCM of 993, 748, 858, 965, 905?
Answer: LCM of 993, 748, 858, 965, 905 is 1686553362780.
2. How to calculate the LCM of 993, 748, 858, 965, 905?
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 993, 748, 858, 965, 905.
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}.