LCM of 988, 762, 228, 149
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 762, 228, 149 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 988, 762, 228, 149. So, keep reading to learn more.
Given numbers are 988,762,228,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,762,228,149 is 56087772.
Find LCM of 988,762,228,149 with Prime Factorization
| 2 | 988, 762, 228, 149 |
| 2 | 494, 381, 114, 149 |
| 3 | 247, 381, 57, 149 |
| 19 | 247, 127, 19, 149 |
| 13, 127, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 13 x 127 x 1 x 149 = 56087772
Therefore, the lowest common multiple of 988,762,228,149 is 56087772.
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.
988 x 762 x 228 x 149 = 25576024032
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
762 : 1, 2, 3, 6, 127, 254, 381, 762
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,762,228,149, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
762:2x 3x 127
228:2x 2x 3x 19
149:149
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 19 = 456
Therefore, the value for common factors is 456.
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 = 25576024032/(1x456)
LCM = 25576024032/456
LCM = 56087772
Thus, we can understand that the LCM of 988,762,228,149 is 56087772.
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FAQs on LCM of 988, 762, 228, 149
1. What is the LCM of 988, 762, 228, 149?
Answer: LCM of 988, 762, 228, 149 is 56087772.
2. How to calculate the LCM of 988, 762, 228, 149?
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 988, 762, 228, 149.
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}.