LCM of 195, 293, 686, 240, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 195, 293, 686, 240, 735 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 195, 293, 686, 240, 735. So, keep reading to learn more.
Given numbers are 195,293,686,240,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,293,686,240,735 is 313556880.
Find LCM of 195,293,686,240,735 with Prime Factorization
| 2 | 195, 293, 686, 240, 735 |
| 3 | 195, 293, 343, 120, 735 |
| 5 | 65, 293, 343, 40, 245 |
| 7 | 13, 293, 343, 8, 49 |
| 7 | 13, 293, 7, 8, 49 |
| 13, 293, 1, 8, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 13 x 293 x 1 x 8 x 7 = 313556880
Therefore, the lowest common multiple of 195,293,686,240,735 is 313556880.
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.
195 x 293 x 686 x 240 x 735 = 6913929204000
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
293 : 1, 293
686 : 1, 2, 7, 14, 49, 98, 343, 686
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,293,686,240,735, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
293:293
686:2x 7x 7x 7
240:2x 2x 2x 2x 3x 5
735:3x 5x 7x 7
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 3x 5x 5x 7x 7 = 22050
Therefore, the value for common factors is 22050.
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 = 6913929204000/(1x22050)
LCM = 6913929204000/22050
LCM = 313556880
Thus, we can understand that the LCM of 195,293,686,240,735 is 313556880.
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FAQs on LCM of 195, 293, 686, 240, 735
1. What is the LCM of 195, 293, 686, 240, 735?
Answer: LCM of 195, 293, 686, 240, 735 is 313556880.
2. How to calculate the LCM of 195, 293, 686, 240, 735?
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 195, 293, 686, 240, 735.
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}.