LCM of 637, 735, 195, 389, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 735, 195, 389, 309 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 637, 735, 195, 389, 309. So, keep reading to learn more.
Given numbers are 637,735,195,389,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,735,195,389,309 is 382840185.
Find LCM of 637,735,195,389,309 with Prime Factorization
| 3 | 637, 735, 195, 389, 309 |
| 5 | 637, 245, 65, 389, 103 |
| 7 | 637, 49, 13, 389, 103 |
| 7 | 91, 7, 13, 389, 103 |
| 13 | 13, 1, 13, 389, 103 |
| 1, 1, 1, 389, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 7 x 13 x 1 x 1 x 1 x 389 x 103 = 382840185
Therefore, the lowest common multiple of 637,735,195,389,309 is 382840185.
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.
637 x 735 x 195 x 389 x 309 = 10974113903025
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.
637 : 1, 7, 13, 49, 91, 637
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
195 : 1, 3, 5, 13, 15, 39, 65, 195
389 : 1, 389
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,735,195,389,309, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
735:3x 5x 7x 7
195:3x 5x 13
389:389
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7x 7x 13 = 28665
Therefore, the value for common factors is 28665.
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 = 10974113903025/(1x28665)
LCM = 10974113903025/28665
LCM = 382840185
Thus, we can understand that the LCM of 637,735,195,389,309 is 382840185.
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FAQs on LCM of 637, 735, 195, 389, 309
1. What is the LCM of 637, 735, 195, 389, 309?
Answer: LCM of 637, 735, 195, 389, 309 is 382840185.
2. How to calculate the LCM of 637, 735, 195, 389, 309?
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 637, 735, 195, 389, 309.
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}.