LCM of 143, 680, 538, 266, 304
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 680, 538, 266, 304 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 143, 680, 538, 266, 304. So, keep reading to learn more.
Given numbers are 143,680,538,266,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,680,538,266,304 is 6957910960.
Find LCM of 143,680,538,266,304 with Prime Factorization
| 2 | 143, 680, 538, 266, 304 |
| 2 | 143, 340, 269, 133, 152 |
| 2 | 143, 170, 269, 133, 76 |
| 19 | 143, 85, 269, 133, 38 |
| 143, 85, 269, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 143 x 85 x 269 x 7 x 2 = 6957910960
Therefore, the lowest common multiple of 143,680,538,266,304 is 6957910960.
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.
143 x 680 x 538 x 266 x 304 = 4230409863680
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.
143 : 1, 11, 13, 143
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
538 : 1, 2, 269, 538
266 : 1, 2, 7, 14, 19, 38, 133, 266
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,680,538,266,304, is 1.
Now, the common factors can be found like this.
143:11x 13
680:2x 2x 2x 5x 17
538:2x 269
266:2x 7x 19
304:2x 2x 2x 2x 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 2x 2x 2x 2x 19 = 608
Therefore, the value for common factors is 608.
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 = 4230409863680/(1x608)
LCM = 4230409863680/608
LCM = 6957910960
Thus, we can understand that the LCM of 143,680,538,266,304 is 6957910960.
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FAQs on LCM of 143, 680, 538, 266, 304
1. What is the LCM of 143, 680, 538, 266, 304?
Answer: LCM of 143, 680, 538, 266, 304 is 6957910960.
2. How to calculate the LCM of 143, 680, 538, 266, 304?
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 143, 680, 538, 266, 304.
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}.