LCM of 468, 494, 720, 442, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 494, 720, 442, 967 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 468, 494, 720, 442, 967. So, keep reading to learn more.
Given numbers are 468,494,720,442,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,494,720,442,967 is 2923511760.
Find LCM of 468,494,720,442,967 with Prime Factorization
| 2 | 468, 494, 720, 442, 967 |
| 2 | 234, 247, 360, 221, 967 |
| 3 | 117, 247, 180, 221, 967 |
| 3 | 39, 247, 60, 221, 967 |
| 13 | 13, 247, 20, 221, 967 |
| 1, 19, 20, 17, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 1 x 19 x 20 x 17 x 967 = 2923511760
Therefore, the lowest common multiple of 468,494,720,442,967 is 2923511760.
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.
468 x 494 x 720 x 442 x 967 = 71146582191360
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
494 : 1, 2, 13, 19, 26, 38, 247, 494
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,494,720,442,967, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
494:2x 13x 19
720:2x 2x 2x 2x 3x 3x 5
442:2x 13x 17
967:967
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 13x 13 = 24336
Therefore, the value for common factors is 24336.
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 = 71146582191360/(1x24336)
LCM = 71146582191360/24336
LCM = 2923511760
Thus, we can understand that the LCM of 468,494,720,442,967 is 2923511760.
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FAQs on LCM of 468, 494, 720, 442, 967
1. What is the LCM of 468, 494, 720, 442, 967?
Answer: LCM of 468, 494, 720, 442, 967 is 2923511760.
2. How to calculate the LCM of 468, 494, 720, 442, 967?
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 468, 494, 720, 442, 967.
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}.