LCM of 283, 362, 386, 381, 516
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 362, 386, 381, 516 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 283, 362, 386, 381, 516. So, keep reading to learn more.
Given numbers are 283,362,386,381,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,362,386,381,516 is 647851907748.
Find LCM of 283,362,386,381,516 with Prime Factorization
| 2 | 283, 362, 386, 381, 516 |
| 3 | 283, 181, 193, 381, 258 |
| 283, 181, 193, 127, 86 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 283 x 181 x 193 x 127 x 86 = 647851907748
Therefore, the lowest common multiple of 283,362,386,381,516 is 647851907748.
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.
283 x 362 x 386 x 381 x 516 = 7774222892976
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.
283 : 1, 283
362 : 1, 2, 181, 362
386 : 1, 2, 193, 386
381 : 1, 3, 127, 381
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,362,386,381,516, is 1.
Now, the common factors can be found like this.
283:283
362:2x 181
386:2x 193
381:3x 127
516:2x 2x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 7774222892976/(1x12)
LCM = 7774222892976/12
LCM = 647851907748
Thus, we can understand that the LCM of 283,362,386,381,516 is 647851907748.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 283, 362, 386, 381, 516
1. What is the LCM of 283, 362, 386, 381, 516?
Answer: LCM of 283, 362, 386, 381, 516 is 647851907748.
2. How to calculate the LCM of 283, 362, 386, 381, 516?
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 283, 362, 386, 381, 516.
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}.