LCM of 765, 591, 251, 437, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 591, 251, 437, 828 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 765, 591, 251, 437, 828. So, keep reading to learn more.
Given numbers are 765,591,251,437,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,591,251,437,828 is 66121517340.
Find LCM of 765,591,251,437,828 with Prime Factorization
| 3 | 765, 591, 251, 437, 828 |
| 3 | 255, 197, 251, 437, 276 |
| 23 | 85, 197, 251, 437, 92 |
| 85, 197, 251, 19, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 23 x 85 x 197 x 251 x 19 x 4 = 66121517340
Therefore, the lowest common multiple of 765,591,251,437,828 is 66121517340.
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.
765 x 591 x 251 x 437 x 828 = 41061462268140
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
591 : 1, 3, 197, 591
251 : 1, 251
437 : 1, 19, 23, 437
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,591,251,437,828, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
591:3x 197
251:251
437:19x 23
828:2x 2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 23 = 621
Therefore, the value for common factors is 621.
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 = 41061462268140/(1x621)
LCM = 41061462268140/621
LCM = 66121517340
Thus, we can understand that the LCM of 765,591,251,437,828 is 66121517340.
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FAQs on LCM of 765, 591, 251, 437, 828
1. What is the LCM of 765, 591, 251, 437, 828?
Answer: LCM of 765, 591, 251, 437, 828 is 66121517340.
2. How to calculate the LCM of 765, 591, 251, 437, 828?
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 765, 591, 251, 437, 828.
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}.