LCM of 508, 230, 716, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 230, 716, 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, 230, 716, 210. So, keep reading to learn more.
Given numbers are 508,230,716,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,230,716,210 is 219600780.
Find LCM of 508,230,716,210 with Prime Factorization
| 2 | 508, 230, 716, 210 |
| 2 | 254, 115, 358, 105 |
| 5 | 127, 115, 179, 105 |
| 127, 23, 179, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 127 x 23 x 179 x 21 = 219600780
Therefore, the lowest common multiple of 508,230,716,210 is 219600780.
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 230 x 716 x 210 = 17568062400
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
230 : 1, 2, 5, 10, 23, 46, 115, 230
716 : 1, 2, 4, 179, 358, 716
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 508,230,716,210, is 2.
Now, the common factors can be found like this.
508:2x 2x 127
230:2x 5x 23
716:2x 2x 179
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 2x 5 = 40
Therefore, the value for common factors is 40.
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 = 17568062400/(2x40)
LCM = 17568062400/80
LCM = 219600780
Thus, we can understand that the LCM of 508,230,716,210 is 219600780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 230, 716, 210
1. What is the LCM of 508, 230, 716, 210?
Answer: LCM of 508, 230, 716, 210 is 219600780.
2. How to calculate the LCM of 508, 230, 716, 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, 230, 716, 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}.