LCM of 496, 210, 325, 589, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 210, 325, 589, 715 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 496, 210, 325, 589, 715. So, keep reading to learn more.
Given numbers are 496,210,325,589,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,210,325,589,715 is 707506800.
Find LCM of 496,210,325,589,715 with Prime Factorization
| 2 | 496, 210, 325, 589, 715 |
| 5 | 248, 105, 325, 589, 715 |
| 13 | 248, 21, 65, 589, 143 |
| 31 | 248, 21, 5, 589, 11 |
| 8, 21, 5, 19, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 31 x 8 x 21 x 5 x 19 x 11 = 707506800
Therefore, the lowest common multiple of 496,210,325,589,715 is 707506800.
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.
496 x 210 x 325 x 589 x 715 = 14256262020000
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
325 : 1, 5, 13, 25, 65, 325
589 : 1, 19, 31, 589
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,210,325,589,715, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
210:2x 3x 5x 7
325:5x 5x 13
589:19x 31
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 13x 31 = 20150
Therefore, the value for common factors is 20150.
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 = 14256262020000/(1x20150)
LCM = 14256262020000/20150
LCM = 707506800
Thus, we can understand that the LCM of 496,210,325,589,715 is 707506800.
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FAQs on LCM of 496, 210, 325, 589, 715
1. What is the LCM of 496, 210, 325, 589, 715?
Answer: LCM of 496, 210, 325, 589, 715 is 707506800.
2. How to calculate the LCM of 496, 210, 325, 589, 715?
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 496, 210, 325, 589, 715.
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}.