LCM of 591, 896, 464, 508, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 896, 464, 508, 744 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 591, 896, 464, 508, 744. So, keep reading to learn more.
Given numbers are 591,896,464,508,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,896,464,508,744 is 60458713728.
Find LCM of 591,896,464,508,744 with Prime Factorization
| 2 | 591, 896, 464, 508, 744 |
| 2 | 591, 448, 232, 254, 372 |
| 2 | 591, 224, 116, 127, 186 |
| 2 | 591, 112, 58, 127, 93 |
| 3 | 591, 56, 29, 127, 93 |
| 197, 56, 29, 127, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 197 x 56 x 29 x 127 x 31 = 60458713728
Therefore, the lowest common multiple of 591,896,464,508,744 is 60458713728.
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.
591 x 896 x 464 x 508 x 744 = 92864584286208
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.
591 : 1, 3, 197, 591
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
508 : 1, 2, 4, 127, 254, 508
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,896,464,508,744, is 1.
Now, the common factors can be found like this.
591:3x 197
896:2x 2x 2x 2x 2x 2x 2x 7
464:2x 2x 2x 2x 29
508:2x 2x 127
744:2x 2x 2x 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 2x 2x 2x 2x 2x 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 92864584286208/(1x1536)
LCM = 92864584286208/1536
LCM = 60458713728
Thus, we can understand that the LCM of 591,896,464,508,744 is 60458713728.
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FAQs on LCM of 591, 896, 464, 508, 744
1. What is the LCM of 591, 896, 464, 508, 744?
Answer: LCM of 591, 896, 464, 508, 744 is 60458713728.
2. How to calculate the LCM of 591, 896, 464, 508, 744?
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 591, 896, 464, 508, 744.
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}.