LCM of 381, 667, 232, 446, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 667, 232, 446, 114 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 381, 667, 232, 446, 114. So, keep reading to learn more.
Given numbers are 381,667,232,446,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,667,232,446,114 is 8613888792.
Find LCM of 381,667,232,446,114 with Prime Factorization
| 2 | 381, 667, 232, 446, 114 |
| 3 | 381, 667, 116, 223, 57 |
| 29 | 127, 667, 116, 223, 19 |
| 127, 23, 4, 223, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 127 x 23 x 4 x 223 x 19 = 8613888792
Therefore, the lowest common multiple of 381,667,232,446,114 is 8613888792.
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.
381 x 667 x 232 x 446 x 114 = 2997633299616
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.
381 : 1, 3, 127, 381
667 : 1, 23, 29, 667
232 : 1, 2, 4, 8, 29, 58, 116, 232
446 : 1, 2, 223, 446
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,667,232,446,114, is 1.
Now, the common factors can be found like this.
381:3x 127
667:23x 29
232:2x 2x 2x 29
446:2x 223
114:2x 3x 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 29 = 348
Therefore, the value for common factors is 348.
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 = 2997633299616/(1x348)
LCM = 2997633299616/348
LCM = 8613888792
Thus, we can understand that the LCM of 381,667,232,446,114 is 8613888792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 381, 667, 232, 446, 114
1. What is the LCM of 381, 667, 232, 446, 114?
Answer: LCM of 381, 667, 232, 446, 114 is 8613888792.
2. How to calculate the LCM of 381, 667, 232, 446, 114?
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 381, 667, 232, 446, 114.
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}.