LCM of 325, 307, 544, 221, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 325, 307, 544, 221, 260 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 325, 307, 544, 221, 260. So, keep reading to learn more.
Given numbers are 325,307,544,221,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 325,307,544,221,260 is 54277600.
Find LCM of 325,307,544,221,260 with Prime Factorization
| 2 | 325, 307, 544, 221, 260 |
| 2 | 325, 307, 272, 221, 130 |
| 5 | 325, 307, 136, 221, 65 |
| 13 | 13, 307, 136, 221, 65 |
| 17 | 1, 307, 136, 17, 5 |
| 1, 307, 8, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 17 x 1 x 307 x 8 x 1 x 5 = 54277600
Therefore, the lowest common multiple of 325,307,544,221,260 is 54277600.
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.
325 x 307 x 544 x 221 x 260 = 3118790896000
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.
325 : 1, 5, 13, 25, 65, 325
307 : 1, 307
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
221 : 1, 13, 17, 221
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,307,544,221,260, is 1.
Now, the common factors can be found like this.
325:5x 5x 13
307:307
544:2x 2x 2x 2x 2x 17
221:13x 17
260:2x 2x 5x 13
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 5x 13x 13x 17 = 57460
Therefore, the value for common factors is 57460.
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 = 3118790896000/(1x57460)
LCM = 3118790896000/57460
LCM = 54277600
Thus, we can understand that the LCM of 325,307,544,221,260 is 54277600.
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FAQs on LCM of 325, 307, 544, 221, 260
1. What is the LCM of 325, 307, 544, 221, 260?
Answer: LCM of 325, 307, 544, 221, 260 is 54277600.
2. How to calculate the LCM of 325, 307, 544, 221, 260?
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 325, 307, 544, 221, 260.
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}.