LCM of 137, 192, 312, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 192, 312, 832 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, 192, 312, 832. So, keep reading to learn more.
Given numbers are 137,192,312,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,192,312,832 is 341952.
Find LCM of 137,192,312,832 with Prime Factorization
| 2 | 137, 192, 312, 832 |
| 2 | 137, 96, 156, 416 |
| 2 | 137, 48, 78, 208 |
| 2 | 137, 24, 39, 104 |
| 2 | 137, 12, 39, 52 |
| 2 | 137, 6, 39, 26 |
| 3 | 137, 3, 39, 13 |
| 13 | 137, 1, 13, 13 |
| 137, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 137 x 1 x 1 x 1 = 341952
Therefore, the lowest common multiple of 137,192,312,832 is 341952.
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 192 x 312 x 832 = 6828097536
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
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,192,312,832, is 1.
Now, the common factors can be found like this.
137:137
192:2x 2x 2x 2x 2x 2x 3
312:2x 2x 2x 3x 13
832:2x 2x 2x 2x 2x 2x 13
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 2x 2x 2x 2x 2x 3x 13 = 19968
Therefore, the value for common factors is 19968.
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 = 6828097536/(1x19968)
LCM = 6828097536/19968
LCM = 341952
Thus, we can understand that the LCM of 137,192,312,832 is 341952.
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FAQs on LCM of 137, 192, 312, 832
1. What is the LCM of 137, 192, 312, 832?
Answer: LCM of 137, 192, 312, 832 is 341952.
2. How to calculate the LCM of 137, 192, 312, 832?
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, 192, 312, 832.
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}.