LCM of 452, 969, 437, 144, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 969, 437, 144, 903 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 452, 969, 437, 144, 903. So, keep reading to learn more.
Given numbers are 452,969,437,144,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,969,437,144,903 is 36386291088.
Find LCM of 452,969,437,144,903 with Prime Factorization
| 2 | 452, 969, 437, 144, 903 |
| 2 | 226, 969, 437, 72, 903 |
| 3 | 113, 969, 437, 36, 903 |
| 19 | 113, 323, 437, 12, 301 |
| 113, 17, 23, 12, 301 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 113 x 17 x 23 x 12 x 301 = 36386291088
Therefore, the lowest common multiple of 452,969,437,144,903 is 36386291088.
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.
452 x 969 x 437 x 144 x 903 = 24888223104192
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.
452 : 1, 2, 4, 113, 226, 452
969 : 1, 3, 17, 19, 51, 57, 323, 969
437 : 1, 19, 23, 437
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,969,437,144,903, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
969:3x 17x 19
437:19x 23
144:2x 2x 2x 2x 3x 3
903:3x 7x 43
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 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 24888223104192/(1x684)
LCM = 24888223104192/684
LCM = 36386291088
Thus, we can understand that the LCM of 452,969,437,144,903 is 36386291088.
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FAQs on LCM of 452, 969, 437, 144, 903
1. What is the LCM of 452, 969, 437, 144, 903?
Answer: LCM of 452, 969, 437, 144, 903 is 36386291088.
2. How to calculate the LCM of 452, 969, 437, 144, 903?
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 452, 969, 437, 144, 903.
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}.