LCM of 510, 831, 611, 360, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 831, 611, 360, 533 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 510, 831, 611, 360, 533. So, keep reading to learn more.
Given numbers are 510,831,611,360,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,831,611,360,533 is 42467457240.
Find LCM of 510,831,611,360,533 with Prime Factorization
| 2 | 510, 831, 611, 360, 533 |
| 3 | 255, 831, 611, 180, 533 |
| 5 | 85, 277, 611, 60, 533 |
| 13 | 17, 277, 611, 12, 533 |
| 17, 277, 47, 12, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 17 x 277 x 47 x 12 x 41 = 42467457240
Therefore, the lowest common multiple of 510,831,611,360,533 is 42467457240.
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.
510 x 831 x 611 x 360 x 533 = 49686924970800
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
831 : 1, 3, 277, 831
611 : 1, 13, 47, 611
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
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,831,611,360,533, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
831:3x 277
611:13x 47
360:2x 2x 2x 3x 3x 5
533:13x 41
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 5x 13 = 1170
Therefore, the value for common factors is 1170.
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 = 49686924970800/(1x1170)
LCM = 49686924970800/1170
LCM = 42467457240
Thus, we can understand that the LCM of 510,831,611,360,533 is 42467457240.
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FAQs on LCM of 510, 831, 611, 360, 533
1. What is the LCM of 510, 831, 611, 360, 533?
Answer: LCM of 510, 831, 611, 360, 533 is 42467457240.
2. How to calculate the LCM of 510, 831, 611, 360, 533?
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 510, 831, 611, 360, 533.
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}.