LCM of 841, 489, 530, 744, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 489, 530, 744, 510 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 841, 489, 530, 744, 510. So, keep reading to learn more.
Given numbers are 841,489,530,744,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,489,530,744,510 is 459463832760.
Find LCM of 841,489,530,744,510 with Prime Factorization
| 2 | 841, 489, 530, 744, 510 |
| 3 | 841, 489, 265, 372, 255 |
| 5 | 841, 163, 265, 124, 85 |
| 841, 163, 53, 124, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 841 x 163 x 53 x 124 x 17 = 459463832760
Therefore, the lowest common multiple of 841,489,530,744,510 is 459463832760.
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.
841 x 489 x 530 x 744 x 510 = 82703489896800
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.
841 : 1, 29, 841
489 : 1, 3, 163, 489
530 : 1, 2, 5, 10, 53, 106, 265, 530
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,489,530,744,510, is 1.
Now, the common factors can be found like this.
841:29x 29
489:3x 163
530:2x 5x 53
744:2x 2x 2x 3x 31
510:2x 3x 5x 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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 82703489896800/(1x180)
LCM = 82703489896800/180
LCM = 459463832760
Thus, we can understand that the LCM of 841,489,530,744,510 is 459463832760.
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FAQs on LCM of 841, 489, 530, 744, 510
1. What is the LCM of 841, 489, 530, 744, 510?
Answer: LCM of 841, 489, 530, 744, 510 is 459463832760.
2. How to calculate the LCM of 841, 489, 530, 744, 510?
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 841, 489, 530, 744, 510.
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}.