LCM of 290, 684, 735, 307, 227
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 684, 735, 307, 227 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 290, 684, 735, 307, 227. So, keep reading to learn more.
Given numbers are 290,684,735,307,227
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,684,735,307,227 is 338675995980.
Find LCM of 290,684,735,307,227 with Prime Factorization
| 2 | 290, 684, 735, 307, 227 |
| 3 | 145, 342, 735, 307, 227 |
| 5 | 145, 114, 245, 307, 227 |
| 29, 114, 49, 307, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 114 x 49 x 307 x 227 = 338675995980
Therefore, the lowest common multiple of 290,684,735,307,227 is 338675995980.
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.
290 x 684 x 735 x 307 x 227 = 10160279879400
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
307 : 1, 307
227 : 1, 227
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,684,735,307,227, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
684:2x 2x 3x 3x 19
735:3x 5x 7x 7
307:307
227:227
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 5 = 30
Therefore, the value for common factors is 30.
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 = 10160279879400/(1x30)
LCM = 10160279879400/30
LCM = 338675995980
Thus, we can understand that the LCM of 290,684,735,307,227 is 338675995980.
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FAQs on LCM of 290, 684, 735, 307, 227
1. What is the LCM of 290, 684, 735, 307, 227?
Answer: LCM of 290, 684, 735, 307, 227 is 338675995980.
2. How to calculate the LCM of 290, 684, 735, 307, 227?
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 290, 684, 735, 307, 227.
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}.