LCM of 714, 446, 205, 273, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 446, 205, 273, 223 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 714, 446, 205, 273, 223. So, keep reading to learn more.
Given numbers are 714,446,205,273,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,446,205,273,223 is 424326630.
Find LCM of 714,446,205,273,223 with Prime Factorization
| 2 | 714, 446, 205, 273, 223 |
| 3 | 357, 223, 205, 273, 223 |
| 7 | 119, 223, 205, 91, 223 |
| 223 | 17, 223, 205, 13, 223 |
| 17, 1, 205, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 223 x 17 x 1 x 205 x 13 x 1 = 424326630
Therefore, the lowest common multiple of 714,446,205,273,223 is 424326630.
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.
714 x 446 x 205 x 273 x 223 = 3974243216580
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
446 : 1, 2, 223, 446
205 : 1, 5, 41, 205
273 : 1, 3, 7, 13, 21, 39, 91, 273
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,446,205,273,223, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
446:2x 223
205:5x 41
273:3x 7x 13
223:223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 223 = 9366
Therefore, the value for common factors is 9366.
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 = 3974243216580/(1x9366)
LCM = 3974243216580/9366
LCM = 424326630
Thus, we can understand that the LCM of 714,446,205,273,223 is 424326630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 714, 446, 205, 273, 223
1. What is the LCM of 714, 446, 205, 273, 223?
Answer: LCM of 714, 446, 205, 273, 223 is 424326630.
2. How to calculate the LCM of 714, 446, 205, 273, 223?
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 714, 446, 205, 273, 223.
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}.