LCM of 295, 220, 816, 500, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 295, 220, 816, 500, 957 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 295, 220, 816, 500, 957. So, keep reading to learn more.
Given numbers are 295,220,816,500,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,220,816,500,957 is 1919742000.
Find LCM of 295,220,816,500,957 with Prime Factorization
| 2 | 295, 220, 816, 500, 957 |
| 2 | 295, 110, 408, 250, 957 |
| 3 | 295, 55, 204, 125, 957 |
| 5 | 295, 55, 68, 125, 319 |
| 11 | 59, 11, 68, 25, 319 |
| 59, 1, 68, 25, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 59 x 1 x 68 x 25 x 29 = 1919742000
Therefore, the lowest common multiple of 295,220,816,500,957 is 1919742000.
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.
295 x 220 x 816 x 500 x 957 = 25340594400000
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.
295 : 1, 5, 59, 295
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,220,816,500,957, is 1.
Now, the common factors can be found like this.
295:5x 59
220:2x 2x 5x 11
816:2x 2x 2x 2x 3x 17
500:2x 2x 5x 5x 5
957:3x 11x 29
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 3x 5x 5x 11 = 13200
Therefore, the value for common factors is 13200.
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 = 25340594400000/(1x13200)
LCM = 25340594400000/13200
LCM = 1919742000
Thus, we can understand that the LCM of 295,220,816,500,957 is 1919742000.
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FAQs on LCM of 295, 220, 816, 500, 957
1. What is the LCM of 295, 220, 816, 500, 957?
Answer: LCM of 295, 220, 816, 500, 957 is 1919742000.
2. How to calculate the LCM of 295, 220, 816, 500, 957?
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 295, 220, 816, 500, 957.
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}.