LCM of 361, 977, 324, 969, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 977, 324, 969, 549 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 361, 977, 324, 969, 549. So, keep reading to learn more.
Given numbers are 361,977,324,969,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,977,324,969,549 is 118501959636.
Find LCM of 361,977,324,969,549 with Prime Factorization
| 3 | 361, 977, 324, 969, 549 |
| 3 | 361, 977, 108, 323, 183 |
| 19 | 361, 977, 36, 323, 61 |
| 19, 977, 36, 17, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 19 x 977 x 36 x 17 x 61 = 118501959636
Therefore, the lowest common multiple of 361,977,324,969,549 is 118501959636.
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.
361 x 977 x 324 x 969 x 549 = 60791505293268
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.
361 : 1, 19, 361
977 : 1, 977
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
969 : 1, 3, 17, 19, 51, 57, 323, 969
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,977,324,969,549, is 1.
Now, the common factors can be found like this.
361:19x 19
977:977
324:2x 2x 3x 3x 3x 3
969:3x 17x 19
549:3x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 19 = 513
Therefore, the value for common factors is 513.
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 = 60791505293268/(1x513)
LCM = 60791505293268/513
LCM = 118501959636
Thus, we can understand that the LCM of 361,977,324,969,549 is 118501959636.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 361, 977, 324, 969, 549
1. What is the LCM of 361, 977, 324, 969, 549?
Answer: LCM of 361, 977, 324, 969, 549 is 118501959636.
2. How to calculate the LCM of 361, 977, 324, 969, 549?
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 361, 977, 324, 969, 549.
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}.