LCM of 558, 305, 967, 244
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 305, 967, 244 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 558, 305, 967, 244. So, keep reading to learn more.
Given numbers are 558,305,967,244
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,305,967,244 is 329147460.
Find LCM of 558,305,967,244 with Prime Factorization
| 2 | 558, 305, 967, 244 |
| 61 | 279, 305, 967, 122 |
| 279, 5, 967, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 61 x 279 x 5 x 967 x 2 = 329147460
Therefore, the lowest common multiple of 558,305,967,244 is 329147460.
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.
558 x 305 x 967 x 244 = 40155990120
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
305 : 1, 5, 61, 305
967 : 1, 967
244 : 1, 2, 4, 61, 122, 244
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,305,967,244, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
305:5x 61
967:967
244:2x 2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 61 = 122
Therefore, the value for common factors is 122.
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 = 40155990120/(1x122)
LCM = 40155990120/122
LCM = 329147460
Thus, we can understand that the LCM of 558,305,967,244 is 329147460.
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FAQs on LCM of 558, 305, 967, 244
1. What is the LCM of 558, 305, 967, 244?
Answer: LCM of 558, 305, 967, 244 is 329147460.
2. How to calculate the LCM of 558, 305, 967, 244?
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 558, 305, 967, 244.
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}.