LCM of 213, 161, 495, 638, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 213, 161, 495, 638, 319 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 213, 161, 495, 638, 319. So, keep reading to learn more.
Given numbers are 213,161,495,638,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,161,495,638,319 is 328184010.
Find LCM of 213,161,495,638,319 with Prime Factorization
| 3 | 213, 161, 495, 638, 319 |
| 11 | 71, 161, 165, 638, 319 |
| 29 | 71, 161, 15, 58, 29 |
| 71, 161, 15, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 29 x 71 x 161 x 15 x 2 x 1 = 328184010
Therefore, the lowest common multiple of 213,161,495,638,319 is 328184010.
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.
213 x 161 x 495 x 638 x 319 = 3454793073270
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.
213 : 1, 3, 71, 213
161 : 1, 7, 23, 161
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
638 : 1, 2, 11, 22, 29, 58, 319, 638
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,161,495,638,319, is 1.
Now, the common factors can be found like this.
213:3x 71
161:7x 23
495:3x 3x 5x 11
638:2x 11x 29
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11x 29 = 10527
Therefore, the value for common factors is 10527.
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 = 3454793073270/(1x10527)
LCM = 3454793073270/10527
LCM = 328184010
Thus, we can understand that the LCM of 213,161,495,638,319 is 328184010.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 213, 161, 495, 638, 319
1. What is the LCM of 213, 161, 495, 638, 319?
Answer: LCM of 213, 161, 495, 638, 319 is 328184010.
2. How to calculate the LCM of 213, 161, 495, 638, 319?
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 213, 161, 495, 638, 319.
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}.