LCM of 508, 884, 510, 470, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 884, 510, 470, 282 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, 884, 510, 470, 282. So, keep reading to learn more.
Given numbers are 508,884,510,470,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,884,510,470,282 is 79148940.
Find LCM of 508,884,510,470,282 with Prime Factorization
| 2 | 508, 884, 510, 470, 282 |
| 2 | 254, 442, 255, 235, 141 |
| 3 | 127, 221, 255, 235, 141 |
| 5 | 127, 221, 85, 235, 47 |
| 17 | 127, 221, 17, 47, 47 |
| 47 | 127, 13, 1, 47, 47 |
| 127, 13, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 47 x 127 x 13 x 1 x 1 x 1 = 79148940
Therefore, the lowest common multiple of 508,884,510,470,282 is 79148940.
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 884 x 510 x 470 x 282 = 30355201468800
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
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
470 : 1, 2, 5, 10, 47, 94, 235, 470
282 : 1, 2, 3, 6, 47, 94, 141, 282
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,884,510,470,282, is 2.
Now, the common factors can be found like this.
508:2x 2x 127
884:2x 2x 13x 17
510:2x 3x 5x 17
470:2x 5x 47
282:2x 3x 47
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 5x 17x 47 = 191760
Therefore, the value for common factors is 191760.
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 = 30355201468800/(2x191760)
LCM = 30355201468800/383520
LCM = 79148940
Thus, we can understand that the LCM of 508,884,510,470,282 is 79148940.
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FAQs on LCM of 508, 884, 510, 470, 282
1. What is the LCM of 508, 884, 510, 470, 282?
Answer: LCM of 508, 884, 510, 470, 282 is 79148940.
2. How to calculate the LCM of 508, 884, 510, 470, 282?
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, 884, 510, 470, 282.
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}.