LCM of 748, 567, 407, 882, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 567, 407, 882, 187 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, 567, 407, 882, 187. So, keep reading to learn more.
Given numbers are 748,567,407,882,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,567,407,882,187 is 109846044.
Find LCM of 748,567,407,882,187 with Prime Factorization
| 2 | 748, 567, 407, 882, 187 |
| 3 | 374, 567, 407, 441, 187 |
| 3 | 374, 189, 407, 147, 187 |
| 7 | 374, 63, 407, 49, 187 |
| 11 | 374, 9, 407, 7, 187 |
| 17 | 34, 9, 37, 7, 17 |
| 2, 9, 37, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 17 x 2 x 9 x 37 x 7 x 1 = 109846044
Therefore, the lowest common multiple of 748,567,407,882,187 is 109846044.
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 567 x 407 x 882 x 187 = 28470117376008
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
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
407 : 1, 11, 37, 407
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,567,407,882,187, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
567:3x 3x 3x 3x 7
407:11x 37
882:2x 3x 3x 7x 7
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 11x 11x 17 = 259182
Therefore, the value for common factors is 259182.
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 = 28470117376008/(1x259182)
LCM = 28470117376008/259182
LCM = 109846044
Thus, we can understand that the LCM of 748,567,407,882,187 is 109846044.
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FAQs on LCM of 748, 567, 407, 882, 187
1. What is the LCM of 748, 567, 407, 882, 187?
Answer: LCM of 748, 567, 407, 882, 187 is 109846044.
2. How to calculate the LCM of 748, 567, 407, 882, 187?
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, 567, 407, 882, 187.
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}.