LCM of 651, 514, 434, 381, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 651, 514, 434, 381, 465 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 651, 514, 434, 381, 465. So, keep reading to learn more.
Given numbers are 651,514,434,381,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 651,514,434,381,465 is 212479890.
Find LCM of 651,514,434,381,465 with Prime Factorization
| 2 | 651, 514, 434, 381, 465 |
| 3 | 651, 257, 217, 381, 465 |
| 7 | 217, 257, 217, 127, 155 |
| 31 | 31, 257, 31, 127, 155 |
| 1, 257, 1, 127, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 31 x 1 x 257 x 1 x 127 x 5 = 212479890
Therefore, the lowest common multiple of 651,514,434,381,465 is 212479890.
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.
651 x 514 x 434 x 381 x 465 = 25728339960540
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.
651 : 1, 3, 7, 21, 31, 93, 217, 651
514 : 1, 2, 257, 514
434 : 1, 2, 7, 14, 31, 62, 217, 434
381 : 1, 3, 127, 381
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,514,434,381,465, is 1.
Now, the common factors can be found like this.
651:3x 7x 31
514:2x 257
434:2x 7x 31
381:3x 127
465:3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 31x 31 = 121086
Therefore, the value for common factors is 121086.
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 = 25728339960540/(1x121086)
LCM = 25728339960540/121086
LCM = 212479890
Thus, we can understand that the LCM of 651,514,434,381,465 is 212479890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 651, 514, 434, 381, 465
1. What is the LCM of 651, 514, 434, 381, 465?
Answer: LCM of 651, 514, 434, 381, 465 is 212479890.
2. How to calculate the LCM of 651, 514, 434, 381, 465?
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 651, 514, 434, 381, 465.
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}.