LCM of 220, 904, 893, 264, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 904, 893, 264, 966 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, 904, 893, 264, 966. So, keep reading to learn more.
Given numbers are 220,904,893,264,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,904,893,264,966 is 21445180680.
Find LCM of 220,904,893,264,966 with Prime Factorization
| 2 | 220, 904, 893, 264, 966 |
| 2 | 110, 452, 893, 132, 483 |
| 2 | 55, 226, 893, 66, 483 |
| 3 | 55, 113, 893, 33, 483 |
| 11 | 55, 113, 893, 11, 161 |
| 5, 113, 893, 1, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 5 x 113 x 893 x 1 x 161 = 21445180680
Therefore, the lowest common multiple of 220,904,893,264,966 is 21445180680.
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 904 x 893 x 264 x 966 = 45292221596160
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
904 : 1, 2, 4, 8, 113, 226, 452, 904
893 : 1, 19, 47, 893
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,904,893,264,966, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
904:2x 2x 2x 113
893:19x 47
264:2x 2x 2x 3x 11
966:2x 3x 7x 23
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 3x 11 = 2112
Therefore, the value for common factors is 2112.
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 = 45292221596160/(1x2112)
LCM = 45292221596160/2112
LCM = 21445180680
Thus, we can understand that the LCM of 220,904,893,264,966 is 21445180680.
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FAQs on LCM of 220, 904, 893, 264, 966
1. What is the LCM of 220, 904, 893, 264, 966?
Answer: LCM of 220, 904, 893, 264, 966 is 21445180680.
2. How to calculate the LCM of 220, 904, 893, 264, 966?
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, 904, 893, 264, 966.
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}.