LCM of 220, 825, 600, 283, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 825, 600, 283, 970 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 220, 825, 600, 283, 970. So, keep reading to learn more.
Given numbers are 220,825,600,283,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,825,600,283,970 is 181176600.
Find LCM of 220,825,600,283,970 with Prime Factorization
| 2 | 220, 825, 600, 283, 970 |
| 2 | 110, 825, 300, 283, 485 |
| 3 | 55, 825, 150, 283, 485 |
| 5 | 55, 275, 50, 283, 485 |
| 5 | 11, 55, 10, 283, 97 |
| 11 | 11, 11, 2, 283, 97 |
| 1, 1, 2, 283, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 11 x 1 x 1 x 2 x 283 x 97 = 181176600
Therefore, the lowest common multiple of 220,825,600,283,970 is 181176600.
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.
220 x 825 x 600 x 283 x 970 = 29894139000000
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
283 : 1, 283
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,825,600,283,970, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
825:3x 5x 5x 11
600:2x 2x 2x 3x 5x 5
283:283
970:2x 5x 97
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 5x 5x 5x 11 = 165000
Therefore, the value for common factors is 165000.
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 = 29894139000000/(1x165000)
LCM = 29894139000000/165000
LCM = 181176600
Thus, we can understand that the LCM of 220,825,600,283,970 is 181176600.
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FAQs on LCM of 220, 825, 600, 283, 970
1. What is the LCM of 220, 825, 600, 283, 970?
Answer: LCM of 220, 825, 600, 283, 970 is 181176600.
2. How to calculate the LCM of 220, 825, 600, 283, 970?
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 220, 825, 600, 283, 970.
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}.