LCM of 229, 217, 660, 927, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 217, 660, 927, 680 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 229, 217, 660, 927, 680. So, keep reading to learn more.
Given numbers are 229,217,660,927,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,217,660,927,680 is 344569274280.
Find LCM of 229,217,660,927,680 with Prime Factorization
| 2 | 229, 217, 660, 927, 680 |
| 2 | 229, 217, 330, 927, 340 |
| 3 | 229, 217, 165, 927, 170 |
| 5 | 229, 217, 55, 309, 170 |
| 229, 217, 11, 309, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 229 x 217 x 11 x 309 x 34 = 344569274280
Therefore, the lowest common multiple of 229,217,660,927,680 is 344569274280.
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.
229 x 217 x 660 x 927 x 680 = 20674156456800
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.
229 : 1, 229
217 : 1, 7, 31, 217
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
927 : 1, 3, 9, 103, 309, 927
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,217,660,927,680, is 1.
Now, the common factors can be found like this.
229:229
217:7x 31
660:2x 2x 3x 5x 11
927:3x 3x 103
680:2x 2x 2x 5x 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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 20674156456800/(1x60)
LCM = 20674156456800/60
LCM = 344569274280
Thus, we can understand that the LCM of 229,217,660,927,680 is 344569274280.
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FAQs on LCM of 229, 217, 660, 927, 680
1. What is the LCM of 229, 217, 660, 927, 680?
Answer: LCM of 229, 217, 660, 927, 680 is 344569274280.
2. How to calculate the LCM of 229, 217, 660, 927, 680?
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 229, 217, 660, 927, 680.
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}.