LCM of 238, 284, 453, 495, 245
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 284, 453, 495, 245 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 238, 284, 453, 495, 245. So, keep reading to learn more.
Given numbers are 238,284,453,495,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,284,453,495,245 is 17682574140.
Find LCM of 238,284,453,495,245 with Prime Factorization
| 2 | 238, 284, 453, 495, 245 |
| 3 | 119, 142, 453, 495, 245 |
| 5 | 119, 142, 151, 165, 245 |
| 7 | 119, 142, 151, 33, 49 |
| 17, 142, 151, 33, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 142 x 151 x 33 x 7 = 17682574140
Therefore, the lowest common multiple of 238,284,453,495,245 is 17682574140.
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.
238 x 284 x 453 x 495 x 245 = 3713340569400
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
284 : 1, 2, 4, 71, 142, 284
453 : 1, 3, 151, 453
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
245 : 1, 5, 7, 35, 49, 245
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,284,453,495,245, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
284:2x 2x 71
453:3x 151
495:3x 3x 5x 11
245:5x 7x 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 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 3713340569400/(1x210)
LCM = 3713340569400/210
LCM = 17682574140
Thus, we can understand that the LCM of 238,284,453,495,245 is 17682574140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 238, 284, 453, 495, 245
1. What is the LCM of 238, 284, 453, 495, 245?
Answer: LCM of 238, 284, 453, 495, 245 is 17682574140.
2. How to calculate the LCM of 238, 284, 453, 495, 245?
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 238, 284, 453, 495, 245.
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}.