LCM of 213, 654, 327, 400, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 213, 654, 327, 400, 167 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, 654, 327, 400, 167. So, keep reading to learn more.
Given numbers are 213,654,327,400,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,654,327,400,167 is 1550895600.
Find LCM of 213,654,327,400,167 with Prime Factorization
| 2 | 213, 654, 327, 400, 167 |
| 3 | 213, 327, 327, 200, 167 |
| 109 | 71, 109, 109, 200, 167 |
| 71, 1, 1, 200, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 71 x 1 x 1 x 200 x 167 = 1550895600
Therefore, the lowest common multiple of 213,654,327,400,167 is 1550895600.
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 654 x 327 x 400 x 167 = 3042857167200
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
654 : 1, 2, 3, 6, 109, 218, 327, 654
327 : 1, 3, 109, 327
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,654,327,400,167, is 1.
Now, the common factors can be found like this.
213:3x 71
654:2x 3x 109
327:3x 109
400:2x 2x 2x 2x 5x 5
167:167
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 3x 109 = 1962
Therefore, the value for common factors is 1962.
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 = 3042857167200/(1x1962)
LCM = 3042857167200/1962
LCM = 1550895600
Thus, we can understand that the LCM of 213,654,327,400,167 is 1550895600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 213, 654, 327, 400, 167
1. What is the LCM of 213, 654, 327, 400, 167?
Answer: LCM of 213, 654, 327, 400, 167 is 1550895600.
2. How to calculate the LCM of 213, 654, 327, 400, 167?
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, 654, 327, 400, 167.
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}.