LCM of 604, 210, 834, 165, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 210, 834, 165, 561 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 604, 210, 834, 165, 561. So, keep reading to learn more.
Given numbers are 604,210,834,165,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,210,834,165,561 is 1648476060.
Find LCM of 604,210,834,165,561 with Prime Factorization
| 2 | 604, 210, 834, 165, 561 |
| 3 | 302, 105, 417, 165, 561 |
| 5 | 302, 35, 139, 55, 187 |
| 11 | 302, 7, 139, 11, 187 |
| 302, 7, 139, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 302 x 7 x 139 x 1 x 17 = 1648476060
Therefore, the lowest common multiple of 604,210,834,165,561 is 1648476060.
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.
604 x 210 x 834 x 165 x 561 = 9791947796400
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.
604 : 1, 2, 4, 151, 302, 604
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
834 : 1, 2, 3, 6, 139, 278, 417, 834
165 : 1, 3, 5, 11, 15, 33, 55, 165
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,210,834,165,561, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
210:2x 3x 5x 7
834:2x 3x 139
165:3x 5x 11
561:3x 11x 17
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 3x 3x 5x 11 = 5940
Therefore, the value for common factors is 5940.
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 = 9791947796400/(1x5940)
LCM = 9791947796400/5940
LCM = 1648476060
Thus, we can understand that the LCM of 604,210,834,165,561 is 1648476060.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 604, 210, 834, 165, 561
1. What is the LCM of 604, 210, 834, 165, 561?
Answer: LCM of 604, 210, 834, 165, 561 is 1648476060.
2. How to calculate the LCM of 604, 210, 834, 165, 561?
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 604, 210, 834, 165, 561.
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}.