LCM of 187, 501, 596, 519, 371
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 501, 596, 519, 371 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 187, 501, 596, 519, 371. So, keep reading to learn more.
Given numbers are 187,501,596,519,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,501,596,519,371 is 3583815181716.
Find LCM of 187,501,596,519,371 with Prime Factorization
| 3 | 187, 501, 596, 519, 371 |
| 187, 167, 596, 173, 371 |
Multiply the prime numbers at the bottom and the left side.
3 x 187 x 167 x 596 x 173 x 371 = 3583815181716
Therefore, the lowest common multiple of 187,501,596,519,371 is 3583815181716.
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.
187 x 501 x 596 x 519 x 371 = 10751445545148
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.
187 : 1, 11, 17, 187
501 : 1, 3, 167, 501
596 : 1, 2, 4, 149, 298, 596
519 : 1, 3, 173, 519
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,501,596,519,371, is 1.
Now, the common factors can be found like this.
187:11x 17
501:3x 167
596:2x 2x 149
519:3x 173
371:7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 10751445545148/(1x3)
LCM = 10751445545148/3
LCM = 3583815181716
Thus, we can understand that the LCM of 187,501,596,519,371 is 3583815181716.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 501, 596, 519, 371
1. What is the LCM of 187, 501, 596, 519, 371?
Answer: LCM of 187, 501, 596, 519, 371 is 3583815181716.
2. How to calculate the LCM of 187, 501, 596, 519, 371?
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 187, 501, 596, 519, 371.
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}.