LCM of 762, 891, 254, 591, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 891, 254, 591, 279 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 762, 891, 254, 591, 279. So, keep reading to learn more.
Given numbers are 762,891,254,591,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,891,254,591,279 is 1382099598.
Find LCM of 762,891,254,591,279 with Prime Factorization
| 2 | 762, 891, 254, 591, 279 |
| 3 | 381, 891, 127, 591, 279 |
| 3 | 127, 297, 127, 197, 93 |
| 127 | 127, 99, 127, 197, 31 |
| 1, 99, 1, 197, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 127 x 1 x 99 x 1 x 197 x 31 = 1382099598
Therefore, the lowest common multiple of 762,891,254,591,279 is 1382099598.
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.
762 x 891 x 254 x 591 x 279 = 28435317129252
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
254 : 1, 2, 127, 254
591 : 1, 3, 197, 591
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,891,254,591,279, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
891:3x 3x 3x 3x 11
254:2x 127
591:3x 197
279:3x 3x 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 3x 3x 127 = 20574
Therefore, the value for common factors is 20574.
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 = 28435317129252/(1x20574)
LCM = 28435317129252/20574
LCM = 1382099598
Thus, we can understand that the LCM of 762,891,254,591,279 is 1382099598.
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FAQs on LCM of 762, 891, 254, 591, 279
1. What is the LCM of 762, 891, 254, 591, 279?
Answer: LCM of 762, 891, 254, 591, 279 is 1382099598.
2. How to calculate the LCM of 762, 891, 254, 591, 279?
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 762, 891, 254, 591, 279.
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}.