LCM of 604, 589, 997, 906, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 589, 997, 906, 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 604, 589, 997, 906, 167. So, keep reading to learn more.
Given numbers are 604,589,997,906,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,589,997,906,167 is 177699054732.
Find LCM of 604,589,997,906,167 with Prime Factorization
| 2 | 604, 589, 997, 906, 167 |
| 151 | 302, 589, 997, 453, 167 |
| 2, 589, 997, 3, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 151 x 2 x 589 x 997 x 3 x 167 = 177699054732
Therefore, the lowest common multiple of 604,589,997,906,167 is 177699054732.
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 589 x 997 x 906 x 167 = 53665114529064
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
589 : 1, 19, 31, 589
997 : 1, 997
906 : 1, 2, 3, 6, 151, 302, 453, 906
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,589,997,906,167, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
589:19x 31
997:997
906:2x 3x 151
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 151 = 302
Therefore, the value for common factors is 302.
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 = 53665114529064/(1x302)
LCM = 53665114529064/302
LCM = 177699054732
Thus, we can understand that the LCM of 604,589,997,906,167 is 177699054732.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 604, 589, 997, 906, 167
1. What is the LCM of 604, 589, 997, 906, 167?
Answer: LCM of 604, 589, 997, 906, 167 is 177699054732.
2. How to calculate the LCM of 604, 589, 997, 906, 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 604, 589, 997, 906, 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}.