LCM of 220, 209, 257, 262, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 209, 257, 262, 923 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, 209, 257, 262, 923. So, keep reading to learn more.
Given numbers are 220,209,257,262,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,209,257,262,923 is 129891999380.
Find LCM of 220,209,257,262,923 with Prime Factorization
| 2 | 220, 209, 257, 262, 923 |
| 11 | 110, 209, 257, 131, 923 |
| 10, 19, 257, 131, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 10 x 19 x 257 x 131 x 923 = 129891999380
Therefore, the lowest common multiple of 220,209,257,262,923 is 129891999380.
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 209 x 257 x 262 x 923 = 2857623986360
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
209 : 1, 11, 19, 209
257 : 1, 257
262 : 1, 2, 131, 262
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,209,257,262,923, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
209:11x 19
257:257
262:2x 131
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 2857623986360/(1x22)
LCM = 2857623986360/22
LCM = 129891999380
Thus, we can understand that the LCM of 220,209,257,262,923 is 129891999380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 220, 209, 257, 262, 923
1. What is the LCM of 220, 209, 257, 262, 923?
Answer: LCM of 220, 209, 257, 262, 923 is 129891999380.
2. How to calculate the LCM of 220, 209, 257, 262, 923?
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, 209, 257, 262, 923.
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}.