LCM of 946, 854, 680, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 854, 680, 920 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 946, 854, 680, 920. So, keep reading to learn more.
Given numbers are 946,854,680,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,854,680,920 is 3158826440.
Find LCM of 946,854,680,920 with Prime Factorization
| 2 | 946, 854, 680, 920 |
| 2 | 473, 427, 340, 460 |
| 2 | 473, 427, 170, 230 |
| 5 | 473, 427, 85, 115 |
| 473, 427, 17, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 473 x 427 x 17 x 23 = 3158826440
Therefore, the lowest common multiple of 946,854,680,920 is 3158826440.
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.
946 x 854 x 680 x 920 = 505412230400
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
854 : 1, 2, 7, 14, 61, 122, 427, 854
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,854,680,920, is 2.
Now, the common factors can be found like this.
946:2x 11x 43
854:2x 7x 61
680:2x 2x 2x 5x 17
920:2x 2x 2x 5x 23
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 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 505412230400/(2x80)
LCM = 505412230400/160
LCM = 3158826440
Thus, we can understand that the LCM of 946,854,680,920 is 3158826440.
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FAQs on LCM of 946, 854, 680, 920
1. What is the LCM of 946, 854, 680, 920?
Answer: LCM of 946, 854, 680, 920 is 3158826440.
2. How to calculate the LCM of 946, 854, 680, 920?
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 946, 854, 680, 920.
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}.