LCM of 228, 748, 241, 253, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 228, 748, 241, 253, 567 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 228, 748, 241, 253, 567. So, keep reading to learn more.
Given numbers are 228,748,241,253,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,748,241,253,567 is 44666624772.
Find LCM of 228,748,241,253,567 with Prime Factorization
| 2 | 228, 748, 241, 253, 567 |
| 2 | 114, 374, 241, 253, 567 |
| 3 | 57, 187, 241, 253, 567 |
| 11 | 19, 187, 241, 253, 189 |
| 19, 17, 241, 23, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 17 x 241 x 23 x 189 = 44666624772
Therefore, the lowest common multiple of 228,748,241,253,567 is 44666624772.
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.
228 x 748 x 241 x 253 x 567 = 5895994469904
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.
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
241 : 1, 241
253 : 1, 11, 23, 253
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,748,241,253,567, is 1.
Now, the common factors can be found like this.
228:2x 2x 3x 19
748:2x 2x 11x 17
241:241
253:11x 23
567:3x 3x 3x 3x 7
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 5895994469904/(1x132)
LCM = 5895994469904/132
LCM = 44666624772
Thus, we can understand that the LCM of 228,748,241,253,567 is 44666624772.
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FAQs on LCM of 228, 748, 241, 253, 567
1. What is the LCM of 228, 748, 241, 253, 567?
Answer: LCM of 228, 748, 241, 253, 567 is 44666624772.
2. How to calculate the LCM of 228, 748, 241, 253, 567?
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 228, 748, 241, 253, 567.
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}.