LCM of 620, 348, 171, 399, 866
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 348, 171, 399, 866 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 620, 348, 171, 399, 866. So, keep reading to learn more.
Given numbers are 620,348,171,399,866
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,348,171,399,866 is 9319051980.
Find LCM of 620,348,171,399,866 with Prime Factorization
| 2 | 620, 348, 171, 399, 866 |
| 2 | 310, 174, 171, 399, 433 |
| 3 | 155, 87, 171, 399, 433 |
| 19 | 155, 29, 57, 133, 433 |
| 155, 29, 3, 7, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 155 x 29 x 3 x 7 x 433 = 9319051980
Therefore, the lowest common multiple of 620,348,171,399,866 is 9319051980.
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.
620 x 348 x 171 x 399 x 866 = 12748463108640
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
171 : 1, 3, 9, 19, 57, 171
399 : 1, 3, 7, 19, 21, 57, 133, 399
866 : 1, 2, 433, 866
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,348,171,399,866, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
348:2x 2x 3x 29
171:3x 3x 19
399:3x 7x 19
866:2x 433
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 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 12748463108640/(1x1368)
LCM = 12748463108640/1368
LCM = 9319051980
Thus, we can understand that the LCM of 620,348,171,399,866 is 9319051980.
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FAQs on LCM of 620, 348, 171, 399, 866
1. What is the LCM of 620, 348, 171, 399, 866?
Answer: LCM of 620, 348, 171, 399, 866 is 9319051980.
2. How to calculate the LCM of 620, 348, 171, 399, 866?
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 620, 348, 171, 399, 866.
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}.