LCM of 927, 572, 576, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 572, 576, 851 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, 572, 576, 851. So, keep reading to learn more.
Given numbers are 927,572,576,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,572,576,851 is 7219802304.
Find LCM of 927,572,576,851 with Prime Factorization
| 2 | 927, 572, 576, 851 |
| 2 | 927, 286, 288, 851 |
| 3 | 927, 143, 144, 851 |
| 3 | 309, 143, 48, 851 |
| 103, 143, 16, 851 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 103 x 143 x 16 x 851 = 7219802304
Therefore, the lowest common multiple of 927,572,576,851 is 7219802304.
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 572 x 576 x 851 = 259912882944
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
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,572,576,851, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
572:2x 2x 11x 13
576:2x 2x 2x 2x 2x 2x 3x 3
851:23x 37
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 259912882944/(1x36)
LCM = 259912882944/36
LCM = 7219802304
Thus, we can understand that the LCM of 927,572,576,851 is 7219802304.
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FAQs on LCM of 927, 572, 576, 851
1. What is the LCM of 927, 572, 576, 851?
Answer: LCM of 927, 572, 576, 851 is 7219802304.
2. How to calculate the LCM of 927, 572, 576, 851?
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, 572, 576, 851.
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}.