LCM of 635, 289, 508, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 289, 508, 238 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 635, 289, 508, 238. So, keep reading to learn more.
Given numbers are 635,289,508,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,289,508,238 is 5138420.
Find LCM of 635,289,508,238 with Prime Factorization
| 2 | 635, 289, 508, 238 |
| 17 | 635, 289, 254, 119 |
| 127 | 635, 17, 254, 7 |
| 5, 17, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 127 x 5 x 17 x 2 x 7 = 5138420
Therefore, the lowest common multiple of 635,289,508,238 is 5138420.
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.
635 x 289 x 508 x 238 = 22187697560
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.
635 : 1, 5, 127, 635
289 : 1, 17, 289
508 : 1, 2, 4, 127, 254, 508
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,289,508,238, is 1.
Now, the common factors can be found like this.
635:5x 127
289:17x 17
508:2x 2x 127
238:2x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 127 = 4318
Therefore, the value for common factors is 4318.
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 = 22187697560/(1x4318)
LCM = 22187697560/4318
LCM = 5138420
Thus, we can understand that the LCM of 635,289,508,238 is 5138420.
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FAQs on LCM of 635, 289, 508, 238
1. What is the LCM of 635, 289, 508, 238?
Answer: LCM of 635, 289, 508, 238 is 5138420.
2. How to calculate the LCM of 635, 289, 508, 238?
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 635, 289, 508, 238.
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}.