LCM of 515, 878, 180, 197, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 878, 180, 197, 756 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 515, 878, 180, 197, 756. So, keep reading to learn more.
Given numbers are 515,878,180,197,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,878,180,197,756 is 33671291220.
Find LCM of 515,878,180,197,756 with Prime Factorization
| 2 | 515, 878, 180, 197, 756 |
| 2 | 515, 439, 90, 197, 378 |
| 3 | 515, 439, 45, 197, 189 |
| 3 | 515, 439, 15, 197, 63 |
| 5 | 515, 439, 5, 197, 21 |
| 103, 439, 1, 197, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 103 x 439 x 1 x 197 x 21 = 33671291220
Therefore, the lowest common multiple of 515,878,180,197,756 is 33671291220.
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.
515 x 878 x 180 x 197 x 756 = 12121664839200
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.
515 : 1, 5, 103, 515
878 : 1, 2, 439, 878
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
197 : 1, 197
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,878,180,197,756, is 1.
Now, the common factors can be found like this.
515:5x 103
878:2x 439
180:2x 2x 3x 3x 5
197:197
756:2x 2x 3x 3x 3x 7
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 12121664839200/(1x360)
LCM = 12121664839200/360
LCM = 33671291220
Thus, we can understand that the LCM of 515,878,180,197,756 is 33671291220.
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FAQs on LCM of 515, 878, 180, 197, 756
1. What is the LCM of 515, 878, 180, 197, 756?
Answer: LCM of 515, 878, 180, 197, 756 is 33671291220.
2. How to calculate the LCM of 515, 878, 180, 197, 756?
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 515, 878, 180, 197, 756.
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}.