LCM of 554, 986, 114, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 554, 986, 114, 418 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 554, 986, 114, 418. So, keep reading to learn more.
Given numbers are 554,986,114,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,986,114,418 is 171247494.
Find LCM of 554,986,114,418 with Prime Factorization
| 2 | 554, 986, 114, 418 |
| 19 | 277, 493, 57, 209 |
| 277, 493, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 277 x 493 x 3 x 11 = 171247494
Therefore, the lowest common multiple of 554,986,114,418 is 171247494.
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.
554 x 986 x 114 x 418 = 26029619088
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.
554 : 1, 2, 277, 554
986 : 1, 2, 17, 29, 34, 58, 493, 986
114 : 1, 2, 3, 6, 19, 38, 57, 114
418 : 1, 2, 11, 19, 22, 38, 209, 418
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,986,114,418, is 2.
Now, the common factors can be found like this.
554:2x 277
986:2x 17x 29
114:2x 3x 19
418:2x 11x 19
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 19 = 76
Therefore, the value for common factors is 76.
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 = 26029619088/(2x76)
LCM = 26029619088/152
LCM = 171247494
Thus, we can understand that the LCM of 554,986,114,418 is 171247494.
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FAQs on LCM of 554, 986, 114, 418
1. What is the LCM of 554, 986, 114, 418?
Answer: LCM of 554, 986, 114, 418 is 171247494.
2. How to calculate the LCM of 554, 986, 114, 418?
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 554, 986, 114, 418.
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}.