LCM of 451, 876, 876, 988, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 876, 876, 988, 591 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 451, 876, 876, 988, 591. So, keep reading to learn more.
Given numbers are 451,876,876,988,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,876,876,988,591 is 19224003084.
Find LCM of 451,876,876,988,591 with Prime Factorization
| 2 | 451, 876, 876, 988, 591 |
| 2 | 451, 438, 438, 494, 591 |
| 3 | 451, 219, 219, 247, 591 |
| 73 | 451, 73, 73, 247, 197 |
| 451, 1, 1, 247, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 73 x 451 x 1 x 1 x 247 x 197 = 19224003084
Therefore, the lowest common multiple of 451,876,876,988,591 is 19224003084.
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.
451 x 876 x 876 x 988 x 591 = 202082720419008
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.
451 : 1, 11, 41, 451
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,876,876,988,591, is 1.
Now, the common factors can be found like this.
451:11x 41
876:2x 2x 3x 73
876:2x 2x 3x 73
988:2x 2x 13x 19
591:3x 197
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 2x 3x 3x 73 = 10512
Therefore, the value for common factors is 10512.
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 = 202082720419008/(1x10512)
LCM = 202082720419008/10512
LCM = 19224003084
Thus, we can understand that the LCM of 451,876,876,988,591 is 19224003084.
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FAQs on LCM of 451, 876, 876, 988, 591
1. What is the LCM of 451, 876, 876, 988, 591?
Answer: LCM of 451, 876, 876, 988, 591 is 19224003084.
2. How to calculate the LCM of 451, 876, 876, 988, 591?
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 451, 876, 876, 988, 591.
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}.