LCM of 367, 286, 741, 138, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 286, 741, 138, 418 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 367, 286, 741, 138, 418. So, keep reading to learn more.
Given numbers are 367,286,741,138,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,286,741,138,418 is 137605182.
Find LCM of 367,286,741,138,418 with Prime Factorization
| 2 | 367, 286, 741, 138, 418 |
| 3 | 367, 143, 741, 69, 209 |
| 11 | 367, 143, 247, 23, 209 |
| 13 | 367, 13, 247, 23, 19 |
| 19 | 367, 1, 19, 23, 19 |
| 367, 1, 1, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 19 x 367 x 1 x 1 x 23 x 1 = 137605182
Therefore, the lowest common multiple of 367,286,741,138,418 is 137605182.
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.
367 x 286 x 741 x 138 x 418 = 4486479353928
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.
367 : 1, 367
286 : 1, 2, 11, 13, 22, 26, 143, 286
741 : 1, 3, 13, 19, 39, 57, 247, 741
138 : 1, 2, 3, 6, 23, 46, 69, 138
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,286,741,138,418, is 1.
Now, the common factors can be found like this.
367:367
286:2x 11x 13
741:3x 13x 19
138:2x 3x 23
418:2x 11x 19
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 11x 13x 19 = 32604
Therefore, the value for common factors is 32604.
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 = 4486479353928/(1x32604)
LCM = 4486479353928/32604
LCM = 137605182
Thus, we can understand that the LCM of 367,286,741,138,418 is 137605182.
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FAQs on LCM of 367, 286, 741, 138, 418
1. What is the LCM of 367, 286, 741, 138, 418?
Answer: LCM of 367, 286, 741, 138, 418 is 137605182.
2. How to calculate the LCM of 367, 286, 741, 138, 418?
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 367, 286, 741, 138, 418.
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}.