LCM of 671, 206, 132, 418, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 206, 132, 418, 921 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, 206, 132, 418, 921. So, keep reading to learn more.
Given numbers are 671,206,132,418,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,206,132,418,921 is 4837633548.
Find LCM of 671,206,132,418,921 with Prime Factorization
| 2 | 671, 206, 132, 418, 921 |
| 3 | 671, 103, 66, 209, 921 |
| 11 | 671, 103, 22, 209, 307 |
| 61, 103, 2, 19, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 61 x 103 x 2 x 19 x 307 = 4837633548
Therefore, the lowest common multiple of 671,206,132,418,921 is 4837633548.
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 206 x 132 x 418 x 921 = 7024243911696
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
206 : 1, 2, 103, 206
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
418 : 1, 2, 11, 19, 22, 38, 209, 418
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,206,132,418,921, is 1.
Now, the common factors can be found like this.
671:11x 61
206:2x 103
132:2x 2x 3x 11
418:2x 11x 19
921:3x 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 2x 3x 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 7024243911696/(1x1452)
LCM = 7024243911696/1452
LCM = 4837633548
Thus, we can understand that the LCM of 671,206,132,418,921 is 4837633548.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 671, 206, 132, 418, 921
1. What is the LCM of 671, 206, 132, 418, 921?
Answer: LCM of 671, 206, 132, 418, 921 is 4837633548.
2. How to calculate the LCM of 671, 206, 132, 418, 921?
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, 206, 132, 418, 921.
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}.