LCM of 190, 286, 676, 304, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 286, 676, 304, 297 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 190, 286, 676, 304, 297. So, keep reading to learn more.
Given numbers are 190,286,676,304,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,286,676,304,297 is 76293360.
Find LCM of 190,286,676,304,297 with Prime Factorization
| 2 | 190, 286, 676, 304, 297 |
| 2 | 95, 143, 338, 152, 297 |
| 11 | 95, 143, 169, 76, 297 |
| 13 | 95, 13, 169, 76, 27 |
| 19 | 95, 1, 13, 76, 27 |
| 5, 1, 13, 4, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 19 x 5 x 1 x 13 x 4 x 27 = 76293360
Therefore, the lowest common multiple of 190,286,676,304,297 is 76293360.
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.
190 x 286 x 676 x 304 x 297 = 3316624945920
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
286 : 1, 2, 11, 13, 22, 26, 143, 286
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,286,676,304,297, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
286:2x 11x 13
676:2x 2x 13x 13
304:2x 2x 2x 2x 19
297:3x 3x 3x 11
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 11x 13x 19 = 43472
Therefore, the value for common factors is 43472.
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 = 3316624945920/(1x43472)
LCM = 3316624945920/43472
LCM = 76293360
Thus, we can understand that the LCM of 190,286,676,304,297 is 76293360.
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FAQs on LCM of 190, 286, 676, 304, 297
1. What is the LCM of 190, 286, 676, 304, 297?
Answer: LCM of 190, 286, 676, 304, 297 is 76293360.
2. How to calculate the LCM of 190, 286, 676, 304, 297?
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 190, 286, 676, 304, 297.
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}.