LCM of 946, 714, 366, 616, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 714, 366, 616, 829 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, 714, 366, 616, 829. So, keep reading to learn more.
Given numbers are 946,714,366,616,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,714,366,616,829 is 68313055272.
Find LCM of 946,714,366,616,829 with Prime Factorization
| 2 | 946, 714, 366, 616, 829 |
| 3 | 473, 357, 183, 308, 829 |
| 7 | 473, 119, 61, 308, 829 |
| 11 | 473, 17, 61, 44, 829 |
| 43, 17, 61, 4, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 43 x 17 x 61 x 4 x 829 = 68313055272
Therefore, the lowest common multiple of 946,714,366,616,829 is 68313055272.
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 714 x 366 x 616 x 829 = 126242526142656
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
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
366 : 1, 2, 3, 6, 61, 122, 183, 366
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,714,366,616,829, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
714:2x 3x 7x 17
366:2x 3x 61
616:2x 2x 2x 7x 11
829:829
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 7x 11 = 1848
Therefore, the value for common factors is 1848.
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 = 126242526142656/(1x1848)
LCM = 126242526142656/1848
LCM = 68313055272
Thus, we can understand that the LCM of 946,714,366,616,829 is 68313055272.
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FAQs on LCM of 946, 714, 366, 616, 829
1. What is the LCM of 946, 714, 366, 616, 829?
Answer: LCM of 946, 714, 366, 616, 829 is 68313055272.
2. How to calculate the LCM of 946, 714, 366, 616, 829?
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, 714, 366, 616, 829.
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}.