LCM of 281, 360, 491, 490, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 281, 360, 491, 490, 459 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 281, 360, 491, 490, 459. So, keep reading to learn more.
Given numbers are 281,360,491,490,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,360,491,490,459 is 124124230440.
Find LCM of 281,360,491,490,459 with Prime Factorization
| 2 | 281, 360, 491, 490, 459 |
| 3 | 281, 180, 491, 245, 459 |
| 3 | 281, 60, 491, 245, 153 |
| 5 | 281, 20, 491, 245, 51 |
| 281, 4, 491, 49, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 281 x 4 x 491 x 49 x 51 = 124124230440
Therefore, the lowest common multiple of 281,360,491,490,459 is 124124230440.
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.
281 x 360 x 491 x 490 x 459 = 11171180739600
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.
281 : 1, 281
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
491 : 1, 491
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,360,491,490,459, is 1.
Now, the common factors can be found like this.
281:281
360:2x 2x 2x 3x 3x 5
491:491
490:2x 5x 7x 7
459:3x 3x 3x 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 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 11171180739600/(1x90)
LCM = 11171180739600/90
LCM = 124124230440
Thus, we can understand that the LCM of 281,360,491,490,459 is 124124230440.
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FAQs on LCM of 281, 360, 491, 490, 459
1. What is the LCM of 281, 360, 491, 490, 459?
Answer: LCM of 281, 360, 491, 490, 459 is 124124230440.
2. How to calculate the LCM of 281, 360, 491, 490, 459?
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 281, 360, 491, 490, 459.
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}.