LCM of 527, 646, 270, 196, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 646, 270, 196, 290 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 527, 646, 270, 196, 290. So, keep reading to learn more.
Given numbers are 527,646,270,196,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,646,270,196,290 is 7683375420.
Find LCM of 527,646,270,196,290 with Prime Factorization
| 2 | 527, 646, 270, 196, 290 |
| 5 | 527, 323, 135, 98, 145 |
| 17 | 527, 323, 27, 98, 29 |
| 31, 19, 27, 98, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 31 x 19 x 27 x 98 x 29 = 7683375420
Therefore, the lowest common multiple of 527,646,270,196,290 is 7683375420.
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.
527 x 646 x 270 x 196 x 290 = 5224695285600
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.
527 : 1, 17, 31, 527
646 : 1, 2, 17, 19, 34, 38, 323, 646
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,646,270,196,290, is 1.
Now, the common factors can be found like this.
527:17x 31
646:2x 17x 19
270:2x 3x 3x 3x 5
196:2x 2x 7x 7
290:2x 5x 29
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 17 = 680
Therefore, the value for common factors is 680.
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 = 5224695285600/(1x680)
LCM = 5224695285600/680
LCM = 7683375420
Thus, we can understand that the LCM of 527,646,270,196,290 is 7683375420.
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FAQs on LCM of 527, 646, 270, 196, 290
1. What is the LCM of 527, 646, 270, 196, 290?
Answer: LCM of 527, 646, 270, 196, 290 is 7683375420.
2. How to calculate the LCM of 527, 646, 270, 196, 290?
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 527, 646, 270, 196, 290.
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}.