LCM of 880, 818, 101, 304, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 818, 101, 304, 980 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 880, 818, 101, 304, 980. So, keep reading to learn more.
Given numbers are 880,818,101,304,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,818,101,304,980 is 33843637520.
Find LCM of 880,818,101,304,980 with Prime Factorization
| 2 | 880, 818, 101, 304, 980 |
| 2 | 440, 409, 101, 152, 490 |
| 2 | 220, 409, 101, 76, 245 |
| 2 | 110, 409, 101, 38, 245 |
| 5 | 55, 409, 101, 19, 245 |
| 11, 409, 101, 19, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 409 x 101 x 19 x 49 = 33843637520
Therefore, the lowest common multiple of 880,818,101,304,980 is 33843637520.
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.
880 x 818 x 101 x 304 x 980 = 21659928012800
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
818 : 1, 2, 409, 818
101 : 1, 101
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,818,101,304,980, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
818:2x 409
101:101
304:2x 2x 2x 2x 19
980:2x 2x 5x 7x 7
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 2x 2x 2x 2x 5 = 640
Therefore, the value for common factors is 640.
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 = 21659928012800/(1x640)
LCM = 21659928012800/640
LCM = 33843637520
Thus, we can understand that the LCM of 880,818,101,304,980 is 33843637520.
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FAQs on LCM of 880, 818, 101, 304, 980
1. What is the LCM of 880, 818, 101, 304, 980?
Answer: LCM of 880, 818, 101, 304, 980 is 33843637520.
2. How to calculate the LCM of 880, 818, 101, 304, 980?
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 880, 818, 101, 304, 980.
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}.