LCM of 360, 682, 204, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 360, 682, 204, 748 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 360, 682, 204, 748. So, keep reading to learn more.
Given numbers are 360,682,204,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 360,682,204,748 is 2086920.
Find LCM of 360,682,204,748 with Prime Factorization
| 2 | 360, 682, 204, 748 |
| 2 | 180, 341, 102, 374 |
| 3 | 90, 341, 51, 187 |
| 11 | 30, 341, 17, 187 |
| 17 | 30, 31, 17, 17 |
| 30, 31, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 30 x 31 x 1 x 1 = 2086920
Therefore, the lowest common multiple of 360,682,204,748 is 2086920.
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.
360 x 682 x 204 x 748 = 37464387840
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.
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
682 : 1, 2, 11, 22, 31, 62, 341, 682
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,682,204,748, is 2.
Now, the common factors can be found like this.
360:2x 2x 2x 3x 3x 5
682:2x 11x 31
204:2x 2x 3x 17
748:2x 2x 11x 17
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 11x 17 = 8976
Therefore, the value for common factors is 8976.
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 = 37464387840/(2x8976)
LCM = 37464387840/17952
LCM = 2086920
Thus, we can understand that the LCM of 360,682,204,748 is 2086920.
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FAQs on LCM of 360, 682, 204, 748
1. What is the LCM of 360, 682, 204, 748?
Answer: LCM of 360, 682, 204, 748 is 2086920.
2. How to calculate the LCM of 360, 682, 204, 748?
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 360, 682, 204, 748.
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}.