LCM of 844, 108, 236, 114, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 108, 236, 114, 273 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 844, 108, 236, 114, 273. So, keep reading to learn more.
Given numbers are 844,108,236,114,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,108,236,114,273 is 2324626668.
Find LCM of 844,108,236,114,273 with Prime Factorization
| 2 | 844, 108, 236, 114, 273 |
| 2 | 422, 54, 118, 57, 273 |
| 3 | 211, 27, 59, 57, 273 |
| 211, 9, 59, 19, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 211 x 9 x 59 x 19 x 91 = 2324626668
Therefore, the lowest common multiple of 844,108,236,114,273 is 2324626668.
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.
844 x 108 x 236 x 114 x 273 = 669492480384
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.
844 : 1, 2, 4, 211, 422, 844
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
236 : 1, 2, 4, 59, 118, 236
114 : 1, 2, 3, 6, 19, 38, 57, 114
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,108,236,114,273, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
108:2x 2x 3x 3x 3
236:2x 2x 59
114:2x 3x 19
273:3x 7x 13
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 669492480384/(1x288)
LCM = 669492480384/288
LCM = 2324626668
Thus, we can understand that the LCM of 844,108,236,114,273 is 2324626668.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 108, 236, 114, 273
1. What is the LCM of 844, 108, 236, 114, 273?
Answer: LCM of 844, 108, 236, 114, 273 is 2324626668.
2. How to calculate the LCM of 844, 108, 236, 114, 273?
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 844, 108, 236, 114, 273.
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}.