LCM of 302, 209, 665, 714, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 209, 665, 714, 323 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 302, 209, 665, 714, 323. So, keep reading to learn more.
Given numbers are 302,209,665,714,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,209,665,714,323 is 112665630.
Find LCM of 302,209,665,714,323 with Prime Factorization
| 2 | 302, 209, 665, 714, 323 |
| 7 | 151, 209, 665, 357, 323 |
| 17 | 151, 209, 95, 51, 323 |
| 19 | 151, 209, 95, 3, 19 |
| 151, 11, 5, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 19 x 151 x 11 x 5 x 3 x 1 = 112665630
Therefore, the lowest common multiple of 302,209,665,714,323 is 112665630.
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.
302 x 209 x 665 x 714 x 323 = 9680005598340
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.
302 : 1, 2, 151, 302
209 : 1, 11, 19, 209
665 : 1, 5, 7, 19, 35, 95, 133, 665
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,209,665,714,323, is 1.
Now, the common factors can be found like this.
302:2x 151
209:11x 19
665:5x 7x 19
714:2x 3x 7x 17
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17x 19x 19 = 85918
Therefore, the value for common factors is 85918.
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 = 9680005598340/(1x85918)
LCM = 9680005598340/85918
LCM = 112665630
Thus, we can understand that the LCM of 302,209,665,714,323 is 112665630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 302, 209, 665, 714, 323
1. What is the LCM of 302, 209, 665, 714, 323?
Answer: LCM of 302, 209, 665, 714, 323 is 112665630.
2. How to calculate the LCM of 302, 209, 665, 714, 323?
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 302, 209, 665, 714, 323.
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}.