LCM of 979, 450, 500, 156, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 450, 500, 156, 509 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 979, 450, 500, 156, 509. So, keep reading to learn more.
Given numbers are 979,450,500,156,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,450,500,156,509 is 29151193500.
Find LCM of 979,450,500,156,509 with Prime Factorization
| 2 | 979, 450, 500, 156, 509 |
| 2 | 979, 225, 250, 78, 509 |
| 3 | 979, 225, 125, 39, 509 |
| 5 | 979, 75, 125, 13, 509 |
| 5 | 979, 15, 25, 13, 509 |
| 979, 3, 5, 13, 509 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 979 x 3 x 5 x 13 x 509 = 29151193500
Therefore, the lowest common multiple of 979,450,500,156,509 is 29151193500.
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.
979 x 450 x 500 x 156 x 509 = 17490716100000
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.
979 : 1, 11, 89, 979
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,450,500,156,509, is 1.
Now, the common factors can be found like this.
979:11x 89
450:2x 3x 3x 5x 5
500:2x 2x 5x 5x 5
156:2x 2x 3x 13
509:509
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 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 17490716100000/(1x600)
LCM = 17490716100000/600
LCM = 29151193500
Thus, we can understand that the LCM of 979,450,500,156,509 is 29151193500.
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FAQs on LCM of 979, 450, 500, 156, 509
1. What is the LCM of 979, 450, 500, 156, 509?
Answer: LCM of 979, 450, 500, 156, 509 is 29151193500.
2. How to calculate the LCM of 979, 450, 500, 156, 509?
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 979, 450, 500, 156, 509.
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}.