LCM of 510, 958, 426, 100, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 958, 426, 100, 488 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, 958, 426, 100, 488. So, keep reading to learn more.
Given numbers are 510,958,426,100,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,958,426,100,488 is 21160399800.
Find LCM of 510,958,426,100,488 with Prime Factorization
| 2 | 510, 958, 426, 100, 488 |
| 2 | 255, 479, 213, 50, 244 |
| 3 | 255, 479, 213, 25, 122 |
| 5 | 85, 479, 71, 25, 122 |
| 17, 479, 71, 5, 122 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 479 x 71 x 5 x 122 = 21160399800
Therefore, the lowest common multiple of 510,958,426,100,488 is 21160399800.
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 958 x 426 x 100 x 488 = 10156991904000
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
958 : 1, 2, 479, 958
426 : 1, 2, 3, 6, 71, 142, 213, 426
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
488 : 1, 2, 4, 8, 61, 122, 244, 488
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,958,426,100,488, is 2.
Now, the common factors can be found like this.
510:2x 3x 5x 17
958:2x 479
426:2x 3x 71
100:2x 2x 5x 5
488:2x 2x 2x 61
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 5 = 240
Therefore, the value for common factors is 240.
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 = 10156991904000/(2x240)
LCM = 10156991904000/480
LCM = 21160399800
Thus, we can understand that the LCM of 510,958,426,100,488 is 21160399800.
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FAQs on LCM of 510, 958, 426, 100, 488
1. What is the LCM of 510, 958, 426, 100, 488?
Answer: LCM of 510, 958, 426, 100, 488 is 21160399800.
2. How to calculate the LCM of 510, 958, 426, 100, 488?
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, 958, 426, 100, 488.
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}.