LCM of 556, 505, 644, 253, 248
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 505, 644, 253, 248 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 556, 505, 644, 253, 248. So, keep reading to learn more.
Given numbers are 556,505,644,253,248
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,505,644,253,248 is 30830205560.
Find LCM of 556,505,644,253,248 with Prime Factorization
| 2 | 556, 505, 644, 253, 248 |
| 2 | 278, 505, 322, 253, 124 |
| 23 | 139, 505, 161, 253, 62 |
| 139, 505, 7, 11, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 139 x 505 x 7 x 11 x 62 = 30830205560
Therefore, the lowest common multiple of 556,505,644,253,248 is 30830205560.
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.
556 x 505 x 644 x 253 x 248 = 11345515646080
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.
556 : 1, 2, 4, 139, 278, 556
505 : 1, 5, 101, 505
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
253 : 1, 11, 23, 253
248 : 1, 2, 4, 8, 31, 62, 124, 248
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,505,644,253,248, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
505:5x 101
644:2x 2x 7x 23
253:11x 23
248:2x 2x 2x 31
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 23 = 368
Therefore, the value for common factors is 368.
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 = 11345515646080/(1x368)
LCM = 11345515646080/368
LCM = 30830205560
Thus, we can understand that the LCM of 556,505,644,253,248 is 30830205560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 556, 505, 644, 253, 248
1. What is the LCM of 556, 505, 644, 253, 248?
Answer: LCM of 556, 505, 644, 253, 248 is 30830205560.
2. How to calculate the LCM of 556, 505, 644, 253, 248?
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 556, 505, 644, 253, 248.
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}.