LCM of 880, 726, 968, 990, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 726, 968, 990, 219 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, 726, 968, 990, 219. So, keep reading to learn more.
Given numbers are 880,726,968,990,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,726,968,990,219 is 6359760.
Find LCM of 880,726,968,990,219 with Prime Factorization
| 2 | 880, 726, 968, 990, 219 |
| 2 | 440, 363, 484, 495, 219 |
| 2 | 220, 363, 242, 495, 219 |
| 3 | 110, 363, 121, 495, 219 |
| 5 | 110, 121, 121, 165, 73 |
| 11 | 22, 121, 121, 33, 73 |
| 11 | 2, 11, 11, 3, 73 |
| 2, 1, 1, 3, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 11 x 2 x 1 x 1 x 3 x 73 = 6359760
Therefore, the lowest common multiple of 880,726,968,990,219 is 6359760.
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 726 x 968 x 990 x 219 = 134083074470400
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
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,726,968,990,219, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
726:2x 3x 11x 11
968:2x 2x 2x 11x 11
990:2x 3x 3x 5x 11
219:3x 73
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 3x 3x 5x 11x 11x 11x 11 = 21083040
Therefore, the value for common factors is 21083040.
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 = 134083074470400/(1x21083040)
LCM = 134083074470400/21083040
LCM = 6359760
Thus, we can understand that the LCM of 880,726,968,990,219 is 6359760.
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FAQs on LCM of 880, 726, 968, 990, 219
1. What is the LCM of 880, 726, 968, 990, 219?
Answer: LCM of 880, 726, 968, 990, 219 is 6359760.
2. How to calculate the LCM of 880, 726, 968, 990, 219?
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, 726, 968, 990, 219.
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}.