LCM of 137, 468, 306, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 468, 306, 238 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, 468, 306, 238. So, keep reading to learn more.
Given numbers are 137,468,306,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,468,306,238 is 7629804.
Find LCM of 137,468,306,238 with Prime Factorization
| 2 | 137, 468, 306, 238 |
| 3 | 137, 234, 153, 119 |
| 3 | 137, 78, 51, 119 |
| 17 | 137, 26, 17, 119 |
| 137, 26, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 137 x 26 x 1 x 7 = 7629804
Therefore, the lowest common multiple of 137,468,306,238 is 7629804.
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 468 x 306 x 238 = 4669440048
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
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,468,306,238, is 1.
Now, the common factors can be found like this.
137:137
468:2x 2x 3x 3x 13
306:2x 3x 3x 17
238:2x 7x 17
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 3x 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 4669440048/(1x612)
LCM = 4669440048/612
LCM = 7629804
Thus, we can understand that the LCM of 137,468,306,238 is 7629804.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 137, 468, 306, 238
1. What is the LCM of 137, 468, 306, 238?
Answer: LCM of 137, 468, 306, 238 is 7629804.
2. How to calculate the LCM of 137, 468, 306, 238?
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, 468, 306, 238.
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}.