LCM of 253, 699, 205, 380, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 699, 205, 380, 220 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 253, 699, 205, 380, 220. So, keep reading to learn more.
Given numbers are 253,699,205,380,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,699,205,380,220 is 2755276260.
Find LCM of 253,699,205,380,220 with Prime Factorization
| 2 | 253, 699, 205, 380, 220 |
| 2 | 253, 699, 205, 190, 110 |
| 5 | 253, 699, 205, 95, 55 |
| 11 | 253, 699, 41, 19, 11 |
| 23, 699, 41, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 23 x 699 x 41 x 19 x 1 = 2755276260
Therefore, the lowest common multiple of 253,699,205,380,220 is 2755276260.
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.
253 x 699 x 205 x 380 x 220 = 3030803886000
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.
253 : 1, 11, 23, 253
699 : 1, 3, 233, 699
205 : 1, 5, 41, 205
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,699,205,380,220, is 1.
Now, the common factors can be found like this.
253:11x 23
699:3x 233
205:5x 41
380:2x 2x 5x 19
220:2x 2x 5x 11
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 5x 5x 11 = 1100
Therefore, the value for common factors is 1100.
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 = 3030803886000/(1x1100)
LCM = 3030803886000/1100
LCM = 2755276260
Thus, we can understand that the LCM of 253,699,205,380,220 is 2755276260.
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FAQs on LCM of 253, 699, 205, 380, 220
1. What is the LCM of 253, 699, 205, 380, 220?
Answer: LCM of 253, 699, 205, 380, 220 is 2755276260.
2. How to calculate the LCM of 253, 699, 205, 380, 220?
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 253, 699, 205, 380, 220.
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}.