LCM of 247, 400, 546, 260, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 400, 546, 260, 221 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 247, 400, 546, 260, 221. So, keep reading to learn more.
Given numbers are 247,400,546,260,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,400,546,260,221 is 35271600.
Find LCM of 247,400,546,260,221 with Prime Factorization
| 2 | 247, 400, 546, 260, 221 |
| 2 | 247, 200, 273, 130, 221 |
| 5 | 247, 100, 273, 65, 221 |
| 13 | 247, 20, 273, 13, 221 |
| 19, 20, 21, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 19 x 20 x 21 x 1 x 17 = 35271600
Therefore, the lowest common multiple of 247,400,546,260,221 is 35271600.
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.
247 x 400 x 546 x 260 x 221 = 3099668208000
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.
247 : 1, 13, 19, 247
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,400,546,260,221, is 1.
Now, the common factors can be found like this.
247:13x 19
400:2x 2x 2x 2x 5x 5
546:2x 3x 7x 13
260:2x 2x 5x 13
221:13x 17
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 5x 13x 13x 13 = 87880
Therefore, the value for common factors is 87880.
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 = 3099668208000/(1x87880)
LCM = 3099668208000/87880
LCM = 35271600
Thus, we can understand that the LCM of 247,400,546,260,221 is 35271600.
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FAQs on LCM of 247, 400, 546, 260, 221
1. What is the LCM of 247, 400, 546, 260, 221?
Answer: LCM of 247, 400, 546, 260, 221 is 35271600.
2. How to calculate the LCM of 247, 400, 546, 260, 221?
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 247, 400, 546, 260, 221.
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}.