LCM of 977, 420, 162, 272, 927
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 977, 420, 162, 272, 927 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 977, 420, 162, 272, 927. So, keep reading to learn more.
Given numbers are 977,420,162,272,927
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 977,420,162,272,927 is 77598576720.
Find LCM of 977,420,162,272,927 with Prime Factorization
| 2 | 977, 420, 162, 272, 927 |
| 2 | 977, 210, 81, 136, 927 |
| 3 | 977, 105, 81, 68, 927 |
| 3 | 977, 35, 27, 68, 309 |
| 977, 35, 9, 68, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 977 x 35 x 9 x 68 x 103 = 77598576720
Therefore, the lowest common multiple of 977,420,162,272,927 is 77598576720.
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.
977 x 420 x 162 x 272 x 927 = 16761292571520
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.
977 : 1, 977
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
927 : 1, 3, 9, 103, 309, 927
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,420,162,272,927, is 1.
Now, the common factors can be found like this.
977:977
420:2x 2x 3x 5x 7
162:2x 3x 3x 3x 3
272:2x 2x 2x 2x 17
927:3x 3x 103
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 16761292571520/(1x216)
LCM = 16761292571520/216
LCM = 77598576720
Thus, we can understand that the LCM of 977,420,162,272,927 is 77598576720.
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FAQs on LCM of 977, 420, 162, 272, 927
1. What is the LCM of 977, 420, 162, 272, 927?
Answer: LCM of 977, 420, 162, 272, 927 is 77598576720.
2. How to calculate the LCM of 977, 420, 162, 272, 927?
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 977, 420, 162, 272, 927.
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}.