LCM of 241, 964, 687, 386, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 241, 964, 687, 386, 229 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 241, 964, 687, 386, 229. So, keep reading to learn more.
Given numbers are 241,964,687,386,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 241,964,687,386,229 is 127817724.
Find LCM of 241,964,687,386,229 with Prime Factorization
| 2 | 241, 964, 687, 386, 229 |
| 229 | 241, 482, 687, 193, 229 |
| 241 | 241, 482, 3, 193, 1 |
| 1, 2, 3, 193, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 229 x 241 x 1 x 2 x 3 x 193 x 1 = 127817724
Therefore, the lowest common multiple of 241,964,687,386,229 is 127817724.
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.
241 x 964 x 687 x 386 x 229 = 14108264739672
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.
241 : 1, 241
964 : 1, 2, 4, 241, 482, 964
687 : 1, 3, 229, 687
386 : 1, 2, 193, 386
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,964,687,386,229, is 1.
Now, the common factors can be found like this.
241:241
964:2x 2x 241
687:3x 229
386:2x 193
229:229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 229x 241 = 110378
Therefore, the value for common factors is 110378.
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 = 14108264739672/(1x110378)
LCM = 14108264739672/110378
LCM = 127817724
Thus, we can understand that the LCM of 241,964,687,386,229 is 127817724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 241, 964, 687, 386, 229
1. What is the LCM of 241, 964, 687, 386, 229?
Answer: LCM of 241, 964, 687, 386, 229 is 127817724.
2. How to calculate the LCM of 241, 964, 687, 386, 229?
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 241, 964, 687, 386, 229.
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}.