LCM of 544, 615, 312, 325, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 615, 312, 325, 394 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 544, 615, 312, 325, 394. So, keep reading to learn more.
Given numbers are 544,615,312,325,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,615,312,325,394 is 4284040800.
Find LCM of 544,615,312,325,394 with Prime Factorization
| 2 | 544, 615, 312, 325, 394 |
| 2 | 272, 615, 156, 325, 197 |
| 2 | 136, 615, 78, 325, 197 |
| 3 | 68, 615, 39, 325, 197 |
| 5 | 68, 205, 13, 325, 197 |
| 13 | 68, 41, 13, 65, 197 |
| 68, 41, 1, 5, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 68 x 41 x 1 x 5 x 197 = 4284040800
Therefore, the lowest common multiple of 544,615,312,325,394 is 4284040800.
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.
544 x 615 x 312 x 325 x 394 = 13366207296000
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
615 : 1, 3, 5, 15, 41, 123, 205, 615
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
325 : 1, 5, 13, 25, 65, 325
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,615,312,325,394, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
615:3x 5x 41
312:2x 2x 2x 3x 13
325:5x 5x 13
394:2x 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 5x 13 = 3120
Therefore, the value for common factors is 3120.
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 = 13366207296000/(1x3120)
LCM = 13366207296000/3120
LCM = 4284040800
Thus, we can understand that the LCM of 544,615,312,325,394 is 4284040800.
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FAQs on LCM of 544, 615, 312, 325, 394
1. What is the LCM of 544, 615, 312, 325, 394?
Answer: LCM of 544, 615, 312, 325, 394 is 4284040800.
2. How to calculate the LCM of 544, 615, 312, 325, 394?
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 544, 615, 312, 325, 394.
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}.