LCM of 890, 134, 685, 817, 134
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 890, 134, 685, 817, 134 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 890, 134, 685, 817, 134. So, keep reading to learn more.
Given numbers are 890,134,685,817,134
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,134,685,817,134 is 6674326270.
Find LCM of 890,134,685,817,134 with Prime Factorization
| 2 | 890, 134, 685, 817, 134 |
| 5 | 445, 67, 685, 817, 67 |
| 67 | 89, 67, 137, 817, 67 |
| 89, 1, 137, 817, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 67 x 89 x 1 x 137 x 817 x 1 = 6674326270
Therefore, the lowest common multiple of 890,134,685,817,134 is 6674326270.
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.
890 x 134 x 685 x 817 x 134 = 8943597201800
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.
890 : 1, 2, 5, 10, 89, 178, 445, 890
134 : 1, 2, 67, 134
685 : 1, 5, 137, 685
817 : 1, 19, 43, 817
134 : 1, 2, 67, 134
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,134,685,817,134, is 1.
Now, the common factors can be found like this.
890:2x 5x 89
134:2x 67
685:5x 137
817:19x 43
134:2x 67
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 5x 67 = 1340
Therefore, the value for common factors is 1340.
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 = 8943597201800/(1x1340)
LCM = 8943597201800/1340
LCM = 6674326270
Thus, we can understand that the LCM of 890,134,685,817,134 is 6674326270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 890, 134, 685, 817, 134
1. What is the LCM of 890, 134, 685, 817, 134?
Answer: LCM of 890, 134, 685, 817, 134 is 6674326270.
2. How to calculate the LCM of 890, 134, 685, 817, 134?
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 890, 134, 685, 817, 134.
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}.