LCM of 508, 840, 400, 498, 452
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 840, 400, 498, 452 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 508, 840, 400, 498, 452. So, keep reading to learn more.
Given numbers are 508,840,400,498,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,840,400,498,452 is 10005517200.
Find LCM of 508,840,400,498,452 with Prime Factorization
| 2 | 508, 840, 400, 498, 452 |
| 2 | 254, 420, 200, 249, 226 |
| 2 | 127, 210, 100, 249, 113 |
| 3 | 127, 105, 50, 249, 113 |
| 5 | 127, 35, 50, 83, 113 |
| 127, 7, 10, 83, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 127 x 7 x 10 x 83 x 113 = 10005517200
Therefore, the lowest common multiple of 508,840,400,498,452 is 10005517200.
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.
508 x 840 x 400 x 498 x 452 = 38421186048000
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.
508 : 1, 2, 4, 127, 254, 508
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
498 : 1, 2, 3, 6, 83, 166, 249, 498
452 : 1, 2, 4, 113, 226, 452
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,840,400,498,452, is 2.
Now, the common factors can be found like this.
508:2x 2x 127
840:2x 2x 2x 3x 5x 7
400:2x 2x 2x 2x 5x 5
498:2x 3x 83
452:2x 2x 113
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 2x 2x 2x 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 38421186048000/(2x1920)
LCM = 38421186048000/3840
LCM = 10005517200
Thus, we can understand that the LCM of 508,840,400,498,452 is 10005517200.
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FAQs on LCM of 508, 840, 400, 498, 452
1. What is the LCM of 508, 840, 400, 498, 452?
Answer: LCM of 508, 840, 400, 498, 452 is 10005517200.
2. How to calculate the LCM of 508, 840, 400, 498, 452?
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 508, 840, 400, 498, 452.
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}.