LCM of 137, 264, 481, 616, 381
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 264, 481, 616, 381 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 137, 264, 481, 616, 381. So, keep reading to learn more.
Given numbers are 137,264,481,616,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,264,481,616,381 is 15465762312.
Find LCM of 137,264,481,616,381 with Prime Factorization
| 2 | 137, 264, 481, 616, 381 |
| 2 | 137, 132, 481, 308, 381 |
| 2 | 137, 66, 481, 154, 381 |
| 3 | 137, 33, 481, 77, 381 |
| 11 | 137, 11, 481, 77, 127 |
| 137, 1, 481, 7, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 137 x 1 x 481 x 7 x 127 = 15465762312
Therefore, the lowest common multiple of 137,264,481,616,381 is 15465762312.
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.
137 x 264 x 481 x 616 x 381 = 4082961250368
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.
137 : 1, 137
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
481 : 1, 13, 37, 481
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,264,481,616,381, is 1.
Now, the common factors can be found like this.
137:137
264:2x 2x 2x 3x 11
481:13x 37
616:2x 2x 2x 7x 11
381:3x 127
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 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 4082961250368/(1x264)
LCM = 4082961250368/264
LCM = 15465762312
Thus, we can understand that the LCM of 137,264,481,616,381 is 15465762312.
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FAQs on LCM of 137, 264, 481, 616, 381
1. What is the LCM of 137, 264, 481, 616, 381?
Answer: LCM of 137, 264, 481, 616, 381 is 15465762312.
2. How to calculate the LCM of 137, 264, 481, 616, 381?
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 137, 264, 481, 616, 381.
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}.