LCM of 268, 517, 748, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 517, 748, 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 268, 517, 748, 238. So, keep reading to learn more.
Given numbers are 268,517,748,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,517,748,238 is 16488164.
Find LCM of 268,517,748,238 with Prime Factorization
| 2 | 268, 517, 748, 238 |
| 2 | 134, 517, 374, 119 |
| 11 | 67, 517, 187, 119 |
| 17 | 67, 47, 17, 119 |
| 67, 47, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 67 x 47 x 1 x 7 = 16488164
Therefore, the lowest common multiple of 268,517,748,238 is 16488164.
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.
268 x 517 x 748 x 238 = 24666293344
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.
268 : 1, 2, 4, 67, 134, 268
517 : 1, 11, 47, 517
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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 268,517,748,238, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
517:11x 47
748:2x 2x 11x 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 2x 11x 17 = 1496
Therefore, the value for common factors is 1496.
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 = 24666293344/(1x1496)
LCM = 24666293344/1496
LCM = 16488164
Thus, we can understand that the LCM of 268,517,748,238 is 16488164.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 268, 517, 748, 238
1. What is the LCM of 268, 517, 748, 238?
Answer: LCM of 268, 517, 748, 238 is 16488164.
2. How to calculate the LCM of 268, 517, 748, 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 268, 517, 748, 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}.