LCM of 927, 968, 851, 225, 128
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 968, 851, 225, 128 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 927, 968, 851, 225, 128. So, keep reading to learn more.
Given numbers are 927,968,851,225,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,968,851,225,128 is 305453174400.
Find LCM of 927,968,851,225,128 with Prime Factorization
| 2 | 927, 968, 851, 225, 128 |
| 2 | 927, 484, 851, 225, 64 |
| 2 | 927, 242, 851, 225, 32 |
| 3 | 927, 121, 851, 225, 16 |
| 3 | 309, 121, 851, 75, 16 |
| 103, 121, 851, 25, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 103 x 121 x 851 x 25 x 16 = 305453174400
Therefore, the lowest common multiple of 927,968,851,225,128 is 305453174400.
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.
927 x 968 x 851 x 225 x 128 = 21992628556800
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.
927 : 1, 3, 9, 103, 309, 927
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
851 : 1, 23, 37, 851
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,968,851,225,128, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
968:2x 2x 2x 11x 11
851:23x 37
225:3x 3x 5x 5
128:2x 2x 2x 2x 2x 2x 2
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 3 = 72
Therefore, the value for common factors is 72.
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 = 21992628556800/(1x72)
LCM = 21992628556800/72
LCM = 305453174400
Thus, we can understand that the LCM of 927,968,851,225,128 is 305453174400.
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FAQs on LCM of 927, 968, 851, 225, 128
1. What is the LCM of 927, 968, 851, 225, 128?
Answer: LCM of 927, 968, 851, 225, 128 is 305453174400.
2. How to calculate the LCM of 927, 968, 851, 225, 128?
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 927, 968, 851, 225, 128.
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}.