LCM of 760, 756, 796, 235, 207
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 756, 796, 235, 207 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 760, 756, 796, 235, 207. So, keep reading to learn more.
Given numbers are 760,756,796,235,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,756,796,235,207 is 30899693160.
Find LCM of 760,756,796,235,207 with Prime Factorization
| 2 | 760, 756, 796, 235, 207 |
| 2 | 380, 378, 398, 235, 207 |
| 3 | 190, 189, 199, 235, 207 |
| 3 | 190, 63, 199, 235, 69 |
| 5 | 190, 21, 199, 235, 23 |
| 38, 21, 199, 47, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 38 x 21 x 199 x 47 x 23 = 30899693160
Therefore, the lowest common multiple of 760,756,796,235,207 is 30899693160.
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.
760 x 756 x 796 x 235 x 207 = 22247779075200
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
796 : 1, 2, 4, 199, 398, 796
235 : 1, 5, 47, 235
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,756,796,235,207, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
756:2x 2x 3x 3x 3x 7
796:2x 2x 199
235:5x 47
207:3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 22247779075200/(1x720)
LCM = 22247779075200/720
LCM = 30899693160
Thus, we can understand that the LCM of 760,756,796,235,207 is 30899693160.
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FAQs on LCM of 760, 756, 796, 235, 207
1. What is the LCM of 760, 756, 796, 235, 207?
Answer: LCM of 760, 756, 796, 235, 207 is 30899693160.
2. How to calculate the LCM of 760, 756, 796, 235, 207?
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 760, 756, 796, 235, 207.
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}.