LCM of 508, 510, 342, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 510, 342, 210 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, 510, 342, 210. So, keep reading to learn more.
Given numbers are 508,510,342,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,510,342,210 is 51686460.
Find LCM of 508,510,342,210 with Prime Factorization
| 2 | 508, 510, 342, 210 |
| 3 | 254, 255, 171, 105 |
| 5 | 254, 85, 57, 35 |
| 254, 17, 57, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 254 x 17 x 57 x 7 = 51686460
Therefore, the lowest common multiple of 508,510,342,210 is 51686460.
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 510 x 342 x 210 = 18607125600
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
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,510,342,210, is 2.
Now, the common factors can be found like this.
508:2x 2x 127
510:2x 3x 5x 17
342:2x 3x 3x 19
210:2x 3x 5x 7
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 = 18607125600/(2x180)
LCM = 18607125600/360
LCM = 51686460
Thus, we can understand that the LCM of 508,510,342,210 is 51686460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 510, 342, 210
1. What is the LCM of 508, 510, 342, 210?
Answer: LCM of 508, 510, 342, 210 is 51686460.
2. How to calculate the LCM of 508, 510, 342, 210?
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, 510, 342, 210.
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}.