LCM of 564, 715, 728, 846, 932
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 715, 728, 846, 932 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 564, 715, 728, 846, 932. So, keep reading to learn more.
Given numbers are 564,715,728,846,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,715,728,846,932 is 3946302360.
Find LCM of 564,715,728,846,932 with Prime Factorization
| 2 | 564, 715, 728, 846, 932 |
| 2 | 282, 715, 364, 423, 466 |
| 3 | 141, 715, 182, 423, 233 |
| 13 | 47, 715, 182, 141, 233 |
| 47 | 47, 55, 14, 141, 233 |
| 1, 55, 14, 3, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 47 x 1 x 55 x 14 x 3 x 233 = 3946302360
Therefore, the lowest common multiple of 564,715,728,846,932 is 3946302360.
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.
564 x 715 x 728 x 846 x 932 = 231474311228160
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
715 : 1, 5, 11, 13, 55, 65, 143, 715
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,715,728,846,932, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
715:5x 11x 13
728:2x 2x 2x 7x 13
846:2x 3x 3x 47
932:2x 2x 233
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 2x 3x 13x 47 = 58656
Therefore, the value for common factors is 58656.
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 = 231474311228160/(1x58656)
LCM = 231474311228160/58656
LCM = 3946302360
Thus, we can understand that the LCM of 564,715,728,846,932 is 3946302360.
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FAQs on LCM of 564, 715, 728, 846, 932
1. What is the LCM of 564, 715, 728, 846, 932?
Answer: LCM of 564, 715, 728, 846, 932 is 3946302360.
2. How to calculate the LCM of 564, 715, 728, 846, 932?
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 564, 715, 728, 846, 932.
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}.