LCM of 201, 501, 938, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 201, 501, 938, 614 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 201, 501, 938, 614. So, keep reading to learn more.
Given numbers are 201,501,938,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 201,501,938,614 is 144270966.
Find LCM of 201,501,938,614 with Prime Factorization
| 2 | 201, 501, 938, 614 |
| 3 | 201, 501, 469, 307 |
| 67 | 67, 167, 469, 307 |
| 1, 167, 7, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 1 x 167 x 7 x 307 = 144270966
Therefore, the lowest common multiple of 201,501,938,614 is 144270966.
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.
201 x 501 x 938 x 614 = 57996928332
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.
201 : 1, 3, 67, 201
501 : 1, 3, 167, 501
938 : 1, 2, 7, 14, 67, 134, 469, 938
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,501,938,614, is 1.
Now, the common factors can be found like this.
201:3x 67
501:3x 167
938:2x 7x 67
614:2x 307
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 67 = 402
Therefore, the value for common factors is 402.
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 = 57996928332/(1x402)
LCM = 57996928332/402
LCM = 144270966
Thus, we can understand that the LCM of 201,501,938,614 is 144270966.
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FAQs on LCM of 201, 501, 938, 614
1. What is the LCM of 201, 501, 938, 614?
Answer: LCM of 201, 501, 938, 614 is 144270966.
2. How to calculate the LCM of 201, 501, 938, 614?
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 201, 501, 938, 614.
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}.