LCM of 299, 942, 999, 993, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 942, 999, 993, 677 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 299, 942, 999, 993, 677. So, keep reading to learn more.
Given numbers are 299,942,999,993,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,942,999,993,677 is 21017593449918.
Find LCM of 299,942,999,993,677 with Prime Factorization
| 3 | 299, 942, 999, 993, 677 |
| 299, 314, 333, 331, 677 |
Multiply the prime numbers at the bottom and the left side.
3 x 299 x 314 x 333 x 331 x 677 = 21017593449918
Therefore, the lowest common multiple of 299,942,999,993,677 is 21017593449918.
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.
299 x 942 x 999 x 993 x 677 = 189158341049262
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.
299 : 1, 13, 23, 299
942 : 1, 2, 3, 6, 157, 314, 471, 942
999 : 1, 3, 9, 27, 37, 111, 333, 999
993 : 1, 3, 331, 993
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,942,999,993,677, is 1.
Now, the common factors can be found like this.
299:13x 23
942:2x 3x 157
999:3x 3x 3x 37
993:3x 331
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 189158341049262/(1x9)
LCM = 189158341049262/9
LCM = 21017593449918
Thus, we can understand that the LCM of 299,942,999,993,677 is 21017593449918.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 299, 942, 999, 993, 677
1. What is the LCM of 299, 942, 999, 993, 677?
Answer: LCM of 299, 942, 999, 993, 677 is 21017593449918.
2. How to calculate the LCM of 299, 942, 999, 993, 677?
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 299, 942, 999, 993, 677.
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}.