LCM of 163, 469, 978, 712, 890
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 163, 469, 978, 712, 890 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 163, 469, 978, 712, 890. So, keep reading to learn more.
Given numbers are 163,469,978,712,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 163,469,978,712,890 is 816453960.
Find LCM of 163,469,978,712,890 with Prime Factorization
| 2 | 163, 469, 978, 712, 890 |
| 89 | 163, 469, 489, 356, 445 |
| 163 | 163, 469, 489, 4, 5 |
| 1, 469, 3, 4, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 89 x 163 x 1 x 469 x 3 x 4 x 5 = 816453960
Therefore, the lowest common multiple of 163,469,978,712,890 is 816453960.
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.
163 x 469 x 978 x 712 x 890 = 47377190390880
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.
163 : 1, 163
469 : 1, 7, 67, 469
978 : 1, 2, 3, 6, 163, 326, 489, 978
712 : 1, 2, 4, 8, 89, 178, 356, 712
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,469,978,712,890, is 1.
Now, the common factors can be found like this.
163:163
469:7x 67
978:2x 3x 163
712:2x 2x 2x 89
890:2x 5x 89
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 89x 163 = 58028
Therefore, the value for common factors is 58028.
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 = 47377190390880/(1x58028)
LCM = 47377190390880/58028
LCM = 816453960
Thus, we can understand that the LCM of 163,469,978,712,890 is 816453960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 163, 469, 978, 712, 890
1. What is the LCM of 163, 469, 978, 712, 890?
Answer: LCM of 163, 469, 978, 712, 890 is 816453960.
2. How to calculate the LCM of 163, 469, 978, 712, 890?
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 163, 469, 978, 712, 890.
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}.