LCM of 484, 551, 981, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 551, 981, 138 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 484, 551, 981, 138. So, keep reading to learn more.
Given numbers are 484,551,981,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,551,981,138 is 6017191092.
Find LCM of 484,551,981,138 with Prime Factorization
| 2 | 484, 551, 981, 138 |
| 3 | 242, 551, 981, 69 |
| 242, 551, 327, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 242 x 551 x 327 x 23 = 6017191092
Therefore, the lowest common multiple of 484,551,981,138 is 6017191092.
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.
484 x 551 x 981 x 138 = 36103146552
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
551 : 1, 19, 29, 551
981 : 1, 3, 9, 109, 327, 981
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,551,981,138, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
551:19x 29
981:3x 3x 109
138:2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 36103146552/(1x6)
LCM = 36103146552/6
LCM = 6017191092
Thus, we can understand that the LCM of 484,551,981,138 is 6017191092.
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FAQs on LCM of 484, 551, 981, 138
1. What is the LCM of 484, 551, 981, 138?
Answer: LCM of 484, 551, 981, 138 is 6017191092.
2. How to calculate the LCM of 484, 551, 981, 138?
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 484, 551, 981, 138.
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}.