LCM of 254, 591, 341, 972, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 591, 341, 972, 382 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 254, 591, 341, 972, 382. So, keep reading to learn more.
Given numbers are 254,591,341,972,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,591,341,972,382 is 1583886139308.
Find LCM of 254,591,341,972,382 with Prime Factorization
| 2 | 254, 591, 341, 972, 382 |
| 3 | 127, 591, 341, 486, 191 |
| 127, 197, 341, 162, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 197 x 341 x 162 x 191 = 1583886139308
Therefore, the lowest common multiple of 254,591,341,972,382 is 1583886139308.
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.
254 x 591 x 341 x 972 x 382 = 19006633671696
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.
254 : 1, 2, 127, 254
591 : 1, 3, 197, 591
341 : 1, 11, 31, 341
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,591,341,972,382, is 1.
Now, the common factors can be found like this.
254:2x 127
591:3x 197
341:11x 31
972:2x 2x 3x 3x 3x 3x 3
382:2x 191
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 3 = 12
Therefore, the value for common factors is 12.
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 = 19006633671696/(1x12)
LCM = 19006633671696/12
LCM = 1583886139308
Thus, we can understand that the LCM of 254,591,341,972,382 is 1583886139308.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 254, 591, 341, 972, 382
1. What is the LCM of 254, 591, 341, 972, 382?
Answer: LCM of 254, 591, 341, 972, 382 is 1583886139308.
2. How to calculate the LCM of 254, 591, 341, 972, 382?
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 254, 591, 341, 972, 382.
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}.