LCM of 862, 796, 492, 891, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 862, 796, 492, 891, 671 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 862, 796, 492, 891, 671. So, keep reading to learn more.
Given numbers are 862,796,492,891,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 862,796,492,891,671 is 764507470716.
Find LCM of 862,796,492,891,671 with Prime Factorization
| 2 | 862, 796, 492, 891, 671 |
| 2 | 431, 398, 246, 891, 671 |
| 3 | 431, 199, 123, 891, 671 |
| 11 | 431, 199, 41, 297, 671 |
| 431, 199, 41, 27, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 431 x 199 x 41 x 27 x 61 = 764507470716
Therefore, the lowest common multiple of 862,796,492,891,671 is 764507470716.
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.
862 x 796 x 492 x 891 x 671 = 201829972269024
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.
862 : 1, 2, 431, 862
796 : 1, 2, 4, 199, 398, 796
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,796,492,891,671, is 1.
Now, the common factors can be found like this.
862:2x 431
796:2x 2x 199
492:2x 2x 3x 41
891:3x 3x 3x 3x 11
671:11x 61
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 201829972269024/(1x264)
LCM = 201829972269024/264
LCM = 764507470716
Thus, we can understand that the LCM of 862,796,492,891,671 is 764507470716.
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FAQs on LCM of 862, 796, 492, 891, 671
1. What is the LCM of 862, 796, 492, 891, 671?
Answer: LCM of 862, 796, 492, 891, 671 is 764507470716.
2. How to calculate the LCM of 862, 796, 492, 891, 671?
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 862, 796, 492, 891, 671.
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}.