LCM of 187, 471, 748, 685, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 471, 748, 685, 798 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 187, 471, 748, 685, 798. So, keep reading to learn more.
Given numbers are 187,471,748,685,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,471,748,685,798 is 32097020340.
Find LCM of 187,471,748,685,798 with Prime Factorization
| 2 | 187, 471, 748, 685, 798 |
| 3 | 187, 471, 374, 685, 399 |
| 11 | 187, 157, 374, 685, 133 |
| 17 | 17, 157, 34, 685, 133 |
| 1, 157, 2, 685, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 1 x 157 x 2 x 685 x 133 = 32097020340
Therefore, the lowest common multiple of 187,471,748,685,798 is 32097020340.
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.
187 x 471 x 748 x 685 x 798 = 36012856821480
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.
187 : 1, 11, 17, 187
471 : 1, 3, 157, 471
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
685 : 1, 5, 137, 685
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,471,748,685,798, is 1.
Now, the common factors can be found like this.
187:11x 17
471:3x 157
748:2x 2x 11x 17
685:5x 137
798:2x 3x 7x 19
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 11x 17 = 1122
Therefore, the value for common factors is 1122.
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 = 36012856821480/(1x1122)
LCM = 36012856821480/1122
LCM = 32097020340
Thus, we can understand that the LCM of 187,471,748,685,798 is 32097020340.
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FAQs on LCM of 187, 471, 748, 685, 798
1. What is the LCM of 187, 471, 748, 685, 798?
Answer: LCM of 187, 471, 748, 685, 798 is 32097020340.
2. How to calculate the LCM of 187, 471, 748, 685, 798?
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 187, 471, 748, 685, 798.
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}.