LCM of 138, 256, 943, 952, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 256, 943, 952, 369 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 138, 256, 943, 952, 369. So, keep reading to learn more.
Given numbers are 138,256,943,952,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,256,943,952,369 is 258547968.
Find LCM of 138,256,943,952,369 with Prime Factorization
| 2 | 138, 256, 943, 952, 369 |
| 2 | 69, 128, 943, 476, 369 |
| 2 | 69, 64, 943, 238, 369 |
| 3 | 69, 32, 943, 119, 369 |
| 23 | 23, 32, 943, 119, 123 |
| 41 | 1, 32, 41, 119, 123 |
| 1, 32, 1, 119, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 41 x 1 x 32 x 1 x 119 x 3 = 258547968
Therefore, the lowest common multiple of 138,256,943,952,369 is 258547968.
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.
138 x 256 x 943 x 952 x 369 = 11702915223552
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
943 : 1, 23, 41, 943
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,256,943,952,369, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
256:2x 2x 2x 2x 2x 2x 2x 2
943:23x 41
952:2x 2x 2x 7x 17
369:3x 3x 41
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 2x 3x 23x 41 = 45264
Therefore, the value for common factors is 45264.
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 = 11702915223552/(1x45264)
LCM = 11702915223552/45264
LCM = 258547968
Thus, we can understand that the LCM of 138,256,943,952,369 is 258547968.
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FAQs on LCM of 138, 256, 943, 952, 369
1. What is the LCM of 138, 256, 943, 952, 369?
Answer: LCM of 138, 256, 943, 952, 369 is 258547968.
2. How to calculate the LCM of 138, 256, 943, 952, 369?
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 138, 256, 943, 952, 369.
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}.