LCM of 514, 988, 228, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 988, 228, 845 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 514, 988, 228, 845. So, keep reading to learn more.
Given numbers are 514,988,228,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,988,228,845 is 49513620.
Find LCM of 514,988,228,845 with Prime Factorization
| 2 | 514, 988, 228, 845 |
| 2 | 257, 494, 114, 845 |
| 13 | 257, 247, 57, 845 |
| 19 | 257, 19, 57, 65 |
| 257, 1, 3, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 257 x 1 x 3 x 65 = 49513620
Therefore, the lowest common multiple of 514,988,228,845 is 49513620.
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.
514 x 988 x 228 x 845 = 97838913120
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.
514 : 1, 2, 257, 514
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,988,228,845, is 1.
Now, the common factors can be found like this.
514:2x 257
988:2x 2x 13x 19
228:2x 2x 3x 19
845:5x 13x 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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 97838913120/(1x1976)
LCM = 97838913120/1976
LCM = 49513620
Thus, we can understand that the LCM of 514,988,228,845 is 49513620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 514, 988, 228, 845
1. What is the LCM of 514, 988, 228, 845?
Answer: LCM of 514, 988, 228, 845 is 49513620.
2. How to calculate the LCM of 514, 988, 228, 845?
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 514, 988, 228, 845.
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}.