LCM of 382, 171, 712, 828, 371
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 171, 712, 828, 371 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 382, 171, 712, 828, 371. So, keep reading to learn more.
Given numbers are 382,171,712,828,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,171,712,828,371 is 198431774856.
Find LCM of 382,171,712,828,371 with Prime Factorization
| 2 | 382, 171, 712, 828, 371 |
| 2 | 191, 171, 356, 414, 371 |
| 3 | 191, 171, 178, 207, 371 |
| 3 | 191, 57, 178, 69, 371 |
| 191, 19, 178, 23, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 191 x 19 x 178 x 23 x 371 = 198431774856
Therefore, the lowest common multiple of 382,171,712,828,371 is 198431774856.
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.
382 x 171 x 712 x 828 x 371 = 14287087789632
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.
382 : 1, 2, 191, 382
171 : 1, 3, 9, 19, 57, 171
712 : 1, 2, 4, 8, 89, 178, 356, 712
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,171,712,828,371, is 1.
Now, the common factors can be found like this.
382:2x 191
171:3x 3x 19
712:2x 2x 2x 89
828:2x 2x 3x 3x 23
371:7x 53
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 2x 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 14287087789632/(1x72)
LCM = 14287087789632/72
LCM = 198431774856
Thus, we can understand that the LCM of 382,171,712,828,371 is 198431774856.
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FAQs on LCM of 382, 171, 712, 828, 371
1. What is the LCM of 382, 171, 712, 828, 371?
Answer: LCM of 382, 171, 712, 828, 371 is 198431774856.
2. How to calculate the LCM of 382, 171, 712, 828, 371?
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 382, 171, 712, 828, 371.
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}.