LCM of 846, 321, 734, 658, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 846, 321, 734, 658, 963 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 846, 321, 734, 658, 963. So, keep reading to learn more.
Given numbers are 846,321,734,658,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,321,734,658,963 is 232551018.
Find LCM of 846,321,734,658,963 with Prime Factorization
| 2 | 846, 321, 734, 658, 963 |
| 3 | 423, 321, 367, 329, 963 |
| 3 | 141, 107, 367, 329, 321 |
| 47 | 47, 107, 367, 329, 107 |
| 107 | 1, 107, 367, 7, 107 |
| 1, 1, 367, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 47 x 107 x 1 x 1 x 367 x 7 x 1 = 232551018
Therefore, the lowest common multiple of 846,321,734,658,963 is 232551018.
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.
846 x 321 x 734 x 658 x 963 = 126305899508376
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
321 : 1, 3, 107, 321
734 : 1, 2, 367, 734
658 : 1, 2, 7, 14, 47, 94, 329, 658
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,321,734,658,963, is 1.
Now, the common factors can be found like this.
846:2x 3x 3x 47
321:3x 107
734:2x 367
658:2x 7x 47
963:3x 3x 107
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 3x 3x 3x 47x 107 = 543132
Therefore, the value for common factors is 543132.
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 = 126305899508376/(1x543132)
LCM = 126305899508376/543132
LCM = 232551018
Thus, we can understand that the LCM of 846,321,734,658,963 is 232551018.
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FAQs on LCM of 846, 321, 734, 658, 963
1. What is the LCM of 846, 321, 734, 658, 963?
Answer: LCM of 846, 321, 734, 658, 963 is 232551018.
2. How to calculate the LCM of 846, 321, 734, 658, 963?
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 846, 321, 734, 658, 963.
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}.