LCM of 671, 935, 187, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 935, 187, 510 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 671, 935, 187, 510. So, keep reading to learn more.
Given numbers are 671,935,187,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,935,187,510 is 342210.
Find LCM of 671,935,187,510 with Prime Factorization
| 5 | 671, 935, 187, 510 |
| 11 | 671, 187, 187, 102 |
| 17 | 61, 17, 17, 102 |
| 61, 1, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 17 x 61 x 1 x 1 x 6 = 342210
Therefore, the lowest common multiple of 671,935,187,510 is 342210.
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.
671 x 935 x 187 x 510 = 59833707450
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.
671 : 1, 11, 61, 671
935 : 1, 5, 11, 17, 55, 85, 187, 935
187 : 1, 11, 17, 187
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,935,187,510, is 1.
Now, the common factors can be found like this.
671:11x 61
935:5x 11x 17
187:11x 17
510:2x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 11x 17x 17 = 174845
Therefore, the value for common factors is 174845.
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 = 59833707450/(1x174845)
LCM = 59833707450/174845
LCM = 342210
Thus, we can understand that the LCM of 671,935,187,510 is 342210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 671, 935, 187, 510
1. What is the LCM of 671, 935, 187, 510?
Answer: LCM of 671, 935, 187, 510 is 342210.
2. How to calculate the LCM of 671, 935, 187, 510?
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 671, 935, 187, 510.
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}.