LCM of 341, 490, 756, 758, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 490, 756, 758, 720 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 341, 490, 756, 758, 720. So, keep reading to learn more.
Given numbers are 341,490,756,758,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,490,756,758,720 is 13678655760.
Find LCM of 341,490,756,758,720 with Prime Factorization
| 2 | 341, 490, 756, 758, 720 |
| 2 | 341, 245, 378, 379, 360 |
| 3 | 341, 245, 189, 379, 180 |
| 3 | 341, 245, 63, 379, 60 |
| 5 | 341, 245, 21, 379, 20 |
| 7 | 341, 49, 21, 379, 4 |
| 341, 7, 3, 379, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 341 x 7 x 3 x 379 x 4 = 13678655760
Therefore, the lowest common multiple of 341,490,756,758,720 is 13678655760.
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.
341 x 490 x 756 x 758 x 720 = 68940425030400
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.
341 : 1, 11, 31, 341
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
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
758 : 1, 2, 379, 758
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,490,756,758,720, is 1.
Now, the common factors can be found like this.
341:11x 31
490:2x 5x 7x 7
756:2x 2x 3x 3x 3x 7
758:2x 379
720:2x 2x 2x 2x 3x 3x 5
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 5x 7 = 5040
Therefore, the value for common factors is 5040.
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 = 68940425030400/(1x5040)
LCM = 68940425030400/5040
LCM = 13678655760
Thus, we can understand that the LCM of 341,490,756,758,720 is 13678655760.
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FAQs on LCM of 341, 490, 756, 758, 720
1. What is the LCM of 341, 490, 756, 758, 720?
Answer: LCM of 341, 490, 756, 758, 720 is 13678655760.
2. How to calculate the LCM of 341, 490, 756, 758, 720?
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 341, 490, 756, 758, 720.
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}.