LCM of 902, 846, 946, 786, 622
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 846, 946, 786, 622 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 902, 846, 946, 786, 622. So, keep reading to learn more.
Given numbers are 902,846,946,786,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,846,946,786,622 is 668416320198.
Find LCM of 902,846,946,786,622 with Prime Factorization
| 2 | 902, 846, 946, 786, 622 |
| 3 | 451, 423, 473, 393, 311 |
| 11 | 451, 141, 473, 131, 311 |
| 41, 141, 43, 131, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 41 x 141 x 43 x 131 x 311 = 668416320198
Therefore, the lowest common multiple of 902,846,946,786,622 is 668416320198.
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.
902 x 846 x 946 x 786 x 622 = 352923817064544
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
946 : 1, 2, 11, 22, 43, 86, 473, 946
786 : 1, 2, 3, 6, 131, 262, 393, 786
622 : 1, 2, 311, 622
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,846,946,786,622, is 2.
Now, the common factors can be found like this.
902:2x 11x 41
846:2x 3x 3x 47
946:2x 11x 43
786:2x 3x 131
622:2x 311
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 = 352923817064544/(2x264)
LCM = 352923817064544/528
LCM = 668416320198
Thus, we can understand that the LCM of 902,846,946,786,622 is 668416320198.
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FAQs on LCM of 902, 846, 946, 786, 622
1. What is the LCM of 902, 846, 946, 786, 622?
Answer: LCM of 902, 846, 946, 786, 622 is 668416320198.
2. How to calculate the LCM of 902, 846, 946, 786, 622?
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 902, 846, 946, 786, 622.
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}.