LCM of 418, 356, 138, 267, 367
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 356, 138, 267, 367 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 418, 356, 138, 267, 367. So, keep reading to learn more.
Given numbers are 418,356,138,267,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,356,138,267,367 is 1884132492.
Find LCM of 418,356,138,267,367 with Prime Factorization
| 2 | 418, 356, 138, 267, 367 |
| 3 | 209, 178, 69, 267, 367 |
| 89 | 209, 178, 23, 89, 367 |
| 209, 2, 23, 1, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 89 x 209 x 2 x 23 x 1 x 367 = 1884132492
Therefore, the lowest common multiple of 418,356,138,267,367 is 1884132492.
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.
418 x 356 x 138 x 267 x 367 = 2012253501456
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
356 : 1, 2, 4, 89, 178, 356
138 : 1, 2, 3, 6, 23, 46, 69, 138
267 : 1, 3, 89, 267
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,356,138,267,367, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
356:2x 2x 89
138:2x 3x 23
267:3x 89
367:367
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 89 = 1068
Therefore, the value for common factors is 1068.
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 = 2012253501456/(1x1068)
LCM = 2012253501456/1068
LCM = 1884132492
Thus, we can understand that the LCM of 418,356,138,267,367 is 1884132492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 356, 138, 267, 367
1. What is the LCM of 418, 356, 138, 267, 367?
Answer: LCM of 418, 356, 138, 267, 367 is 1884132492.
2. How to calculate the LCM of 418, 356, 138, 267, 367?
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 418, 356, 138, 267, 367.
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}.