LCM of 381, 517, 712, 178
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 517, 712, 178 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, 517, 712, 178. So, keep reading to learn more.
Given numbers are 381,517,712,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,517,712,178 is 140247624.
Find LCM of 381,517,712,178 with Prime Factorization
| 2 | 381, 517, 712, 178 |
| 89 | 381, 517, 356, 89 |
| 381, 517, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 89 x 381 x 517 x 4 x 1 = 140247624
Therefore, the lowest common multiple of 381,517,712,178 is 140247624.
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 517 x 712 x 178 = 24964077072
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
517 : 1, 11, 47, 517
712 : 1, 2, 4, 8, 89, 178, 356, 712
178 : 1, 2, 89, 178
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,517,712,178, is 1.
Now, the common factors can be found like this.
381:3x 127
517:11x 47
712:2x 2x 2x 89
178:2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 89 = 178
Therefore, the value for common factors is 178.
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 = 24964077072/(1x178)
LCM = 24964077072/178
LCM = 140247624
Thus, we can understand that the LCM of 381,517,712,178 is 140247624.
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FAQs on LCM of 381, 517, 712, 178
1. What is the LCM of 381, 517, 712, 178?
Answer: LCM of 381, 517, 712, 178 is 140247624.
2. How to calculate the LCM of 381, 517, 712, 178?
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, 517, 712, 178.
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}.