LCM of 986, 744, 112, 228, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 744, 112, 228, 144 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 986, 744, 112, 228, 144. So, keep reading to learn more.
Given numbers are 986,744,112,228,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,744,112,228,144 is 292700016.
Find LCM of 986,744,112,228,144 with Prime Factorization
| 2 | 986, 744, 112, 228, 144 |
| 2 | 493, 372, 56, 114, 72 |
| 2 | 493, 186, 28, 57, 36 |
| 2 | 493, 93, 14, 57, 18 |
| 3 | 493, 93, 7, 57, 9 |
| 493, 31, 7, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 493 x 31 x 7 x 19 x 3 = 292700016
Therefore, the lowest common multiple of 986,744,112,228,144 is 292700016.
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.
986 x 744 x 112 x 228 x 144 = 2697523347456
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,744,112,228,144, is 2.
Now, the common factors can be found like this.
986:2x 17x 29
744:2x 2x 2x 3x 31
112:2x 2x 2x 2x 7
228:2x 2x 3x 19
144:2x 2x 2x 2x 3x 3
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 2x 2x 2x 2x 3x 3 = 4608
Therefore, the value for common factors is 4608.
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 = 2697523347456/(2x4608)
LCM = 2697523347456/9216
LCM = 292700016
Thus, we can understand that the LCM of 986,744,112,228,144 is 292700016.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 986, 744, 112, 228, 144
1. What is the LCM of 986, 744, 112, 228, 144?
Answer: LCM of 986, 744, 112, 228, 144 is 292700016.
2. How to calculate the LCM of 986, 744, 112, 228, 144?
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 986, 744, 112, 228, 144.
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}.