LCM of 505, 168, 238, 606, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 168, 238, 606, 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 505, 168, 238, 606, 210. So, keep reading to learn more.
Given numbers are 505,168,238,606,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,168,238,606,210 is 1442280.
Find LCM of 505,168,238,606,210 with Prime Factorization
| 2 | 505, 168, 238, 606, 210 |
| 3 | 505, 84, 119, 303, 105 |
| 5 | 505, 28, 119, 101, 35 |
| 7 | 101, 28, 119, 101, 7 |
| 101 | 101, 4, 17, 101, 1 |
| 1, 4, 17, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 101 x 1 x 4 x 17 x 1 x 1 = 1442280
Therefore, the lowest common multiple of 505,168,238,606,210 is 1442280.
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.
505 x 168 x 238 x 606 x 210 = 2569623739200
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.
505 : 1, 5, 101, 505
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
238 : 1, 2, 7, 14, 17, 34, 119, 238
606 : 1, 2, 3, 6, 101, 202, 303, 606
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,168,238,606,210, is 1.
Now, the common factors can be found like this.
505:5x 101
168:2x 2x 2x 3x 7
238:2x 7x 17
606:2x 3x 101
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 3x 3x 5x 7x 7x 101 = 1781640
Therefore, the value for common factors is 1781640.
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 = 2569623739200/(1x1781640)
LCM = 2569623739200/1781640
LCM = 1442280
Thus, we can understand that the LCM of 505,168,238,606,210 is 1442280.
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FAQs on LCM of 505, 168, 238, 606, 210
1. What is the LCM of 505, 168, 238, 606, 210?
Answer: LCM of 505, 168, 238, 606, 210 is 1442280.
2. How to calculate the LCM of 505, 168, 238, 606, 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 505, 168, 238, 606, 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}.