LCM of 247, 342, 451, 726, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 342, 451, 726, 220 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, 342, 451, 726, 220. So, keep reading to learn more.
Given numbers are 247,342,451,726,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,342,451,726,220 is 220566060.
Find LCM of 247,342,451,726,220 with Prime Factorization
| 2 | 247, 342, 451, 726, 220 |
| 3 | 247, 171, 451, 363, 110 |
| 11 | 247, 57, 451, 121, 110 |
| 19 | 247, 57, 41, 11, 10 |
| 13, 3, 41, 11, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 13 x 3 x 41 x 11 x 10 = 220566060
Therefore, the lowest common multiple of 247,342,451,726,220 is 220566060.
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 342 x 451 x 726 x 220 = 6084976463280
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
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
451 : 1, 11, 41, 451
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,342,451,726,220, is 1.
Now, the common factors can be found like this.
247:13x 19
342:2x 3x 3x 19
451:11x 41
726:2x 3x 11x 11
220:2x 2x 5x 11
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 11x 11x 19 = 27588
Therefore, the value for common factors is 27588.
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 = 6084976463280/(1x27588)
LCM = 6084976463280/27588
LCM = 220566060
Thus, we can understand that the LCM of 247,342,451,726,220 is 220566060.
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FAQs on LCM of 247, 342, 451, 726, 220
1. What is the LCM of 247, 342, 451, 726, 220?
Answer: LCM of 247, 342, 451, 726, 220 is 220566060.
2. How to calculate the LCM of 247, 342, 451, 726, 220?
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, 342, 451, 726, 220.
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}.