LCM of 671, 978, 489, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 978, 489, 690 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 671, 978, 489, 690. So, keep reading to learn more.
Given numbers are 671,978,489,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,978,489,690 is 75467370.
Find LCM of 671,978,489,690 with Prime Factorization
| 2 | 671, 978, 489, 690 |
| 3 | 671, 489, 489, 345 |
| 163 | 671, 163, 163, 115 |
| 671, 1, 1, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 671 x 1 x 1 x 115 = 75467370
Therefore, the lowest common multiple of 671,978,489,690 is 75467370.
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.
671 x 978 x 489 x 690 = 221421263580
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.
671 : 1, 11, 61, 671
978 : 1, 2, 3, 6, 163, 326, 489, 978
489 : 1, 3, 163, 489
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,978,489,690, is 1.
Now, the common factors can be found like this.
671:11x 61
978:2x 3x 163
489:3x 163
690:2x 3x 5x 23
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 163 = 2934
Therefore, the value for common factors is 2934.
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 = 221421263580/(1x2934)
LCM = 221421263580/2934
LCM = 75467370
Thus, we can understand that the LCM of 671,978,489,690 is 75467370.
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FAQs on LCM of 671, 978, 489, 690
1. What is the LCM of 671, 978, 489, 690?
Answer: LCM of 671, 978, 489, 690 is 75467370.
2. How to calculate the LCM of 671, 978, 489, 690?
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 671, 978, 489, 690.
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}.