LCM of 298, 914, 546, 455, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 914, 546, 455, 576 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 298, 914, 546, 455, 576. So, keep reading to learn more.
Given numbers are 298,914,546,455,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,914,546,455,576 is 17845813440.
Find LCM of 298,914,546,455,576 with Prime Factorization
| 2 | 298, 914, 546, 455, 576 |
| 3 | 149, 457, 273, 455, 288 |
| 7 | 149, 457, 91, 455, 96 |
| 13 | 149, 457, 13, 65, 96 |
| 149, 457, 1, 5, 96 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 149 x 457 x 1 x 5 x 96 = 17845813440
Therefore, the lowest common multiple of 298,914,546,455,576 is 17845813440.
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.
298 x 914 x 546 x 455 x 576 = 38975256552960
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.
298 : 1, 2, 149, 298
914 : 1, 2, 457, 914
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
455 : 1, 5, 7, 13, 35, 65, 91, 455
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,914,546,455,576, is 1.
Now, the common factors can be found like this.
298:2x 149
914:2x 457
546:2x 3x 7x 13
455:5x 7x 13
576:2x 2x 2x 2x 2x 2x 3x 3
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 3x 7x 13 = 2184
Therefore, the value for common factors is 2184.
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 = 38975256552960/(1x2184)
LCM = 38975256552960/2184
LCM = 17845813440
Thus, we can understand that the LCM of 298,914,546,455,576 is 17845813440.
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FAQs on LCM of 298, 914, 546, 455, 576
1. What is the LCM of 298, 914, 546, 455, 576?
Answer: LCM of 298, 914, 546, 455, 576 is 17845813440.
2. How to calculate the LCM of 298, 914, 546, 455, 576?
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 298, 914, 546, 455, 576.
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}.