LCM of 220, 928, 541, 989, 830
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 928, 541, 989, 830 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 220, 928, 541, 989, 830. So, keep reading to learn more.
Given numbers are 220,928,541,989,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,928,541,989,830 is 2266638779680.
Find LCM of 220,928,541,989,830 with Prime Factorization
| 2 | 220, 928, 541, 989, 830 |
| 2 | 110, 464, 541, 989, 415 |
| 5 | 55, 232, 541, 989, 415 |
| 11, 232, 541, 989, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 232 x 541 x 989 x 83 = 2266638779680
Therefore, the lowest common multiple of 220,928,541,989,830 is 2266638779680.
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.
220 x 928 x 541 x 989 x 830 = 90665551187200
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
541 : 1, 541
989 : 1, 23, 43, 989
830 : 1, 2, 5, 10, 83, 166, 415, 830
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,928,541,989,830, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
928:2x 2x 2x 2x 2x 29
541:541
989:23x 43
830:2x 5x 83
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 5 = 40
Therefore, the value for common factors is 40.
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 = 90665551187200/(1x40)
LCM = 90665551187200/40
LCM = 2266638779680
Thus, we can understand that the LCM of 220,928,541,989,830 is 2266638779680.
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FAQs on LCM of 220, 928, 541, 989, 830
1. What is the LCM of 220, 928, 541, 989, 830?
Answer: LCM of 220, 928, 541, 989, 830 is 2266638779680.
2. How to calculate the LCM of 220, 928, 541, 989, 830?
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 220, 928, 541, 989, 830.
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}.