LCM of 484, 654, 408, 325, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 654, 408, 325, 378 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 484, 654, 408, 325, 378. So, keep reading to learn more.
Given numbers are 484,654,408,325,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,654,408,325,378 is 110178268200.
Find LCM of 484,654,408,325,378 with Prime Factorization
| 2 | 484, 654, 408, 325, 378 |
| 2 | 242, 327, 204, 325, 189 |
| 3 | 121, 327, 102, 325, 189 |
| 121, 109, 34, 325, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 121 x 109 x 34 x 325 x 63 = 110178268200
Therefore, the lowest common multiple of 484,654,408,325,378 is 110178268200.
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.
484 x 654 x 408 x 325 x 378 = 15865670620800
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
654 : 1, 2, 3, 6, 109, 218, 327, 654
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
325 : 1, 5, 13, 25, 65, 325
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,654,408,325,378, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
654:2x 3x 109
408:2x 2x 2x 3x 17
325:5x 5x 13
378:2x 3x 3x 3x 7
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 3 = 144
Therefore, the value for common factors is 144.
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 = 15865670620800/(1x144)
LCM = 15865670620800/144
LCM = 110178268200
Thus, we can understand that the LCM of 484,654,408,325,378 is 110178268200.
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FAQs on LCM of 484, 654, 408, 325, 378
1. What is the LCM of 484, 654, 408, 325, 378?
Answer: LCM of 484, 654, 408, 325, 378 is 110178268200.
2. How to calculate the LCM of 484, 654, 408, 325, 378?
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 484, 654, 408, 325, 378.
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}.