LCM of 748, 561, 247, 374, 889
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 561, 247, 374, 889 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 748, 561, 247, 374, 889. So, keep reading to learn more.
Given numbers are 748,561,247,374,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,561,247,374,889 is 492744252.
Find LCM of 748,561,247,374,889 with Prime Factorization
| 2 | 748, 561, 247, 374, 889 |
| 11 | 374, 561, 247, 187, 889 |
| 17 | 34, 51, 247, 17, 889 |
| 2, 3, 247, 1, 889 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 2 x 3 x 247 x 1 x 889 = 492744252
Therefore, the lowest common multiple of 748,561,247,374,889 is 492744252.
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.
748 x 561 x 247 x 374 x 889 = 34461547496376
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
561 : 1, 3, 11, 17, 33, 51, 187, 561
247 : 1, 13, 19, 247
374 : 1, 2, 11, 17, 22, 34, 187, 374
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,561,247,374,889, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
561:3x 11x 17
247:13x 19
374:2x 11x 17
889:7x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 17x 17 = 69938
Therefore, the value for common factors is 69938.
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 = 34461547496376/(1x69938)
LCM = 34461547496376/69938
LCM = 492744252
Thus, we can understand that the LCM of 748,561,247,374,889 is 492744252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 748, 561, 247, 374, 889
1. What is the LCM of 748, 561, 247, 374, 889?
Answer: LCM of 748, 561, 247, 374, 889 is 492744252.
2. How to calculate the LCM of 748, 561, 247, 374, 889?
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 748, 561, 247, 374, 889.
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}.