LCM of 426, 489, 845, 589, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 489, 845, 589, 630 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 426, 489, 845, 589, 630. So, keep reading to learn more.
Given numbers are 426,489,845,589,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,489,845,589,630 is 725752435590.
Find LCM of 426,489,845,589,630 with Prime Factorization
| 2 | 426, 489, 845, 589, 630 |
| 3 | 213, 489, 845, 589, 315 |
| 5 | 71, 163, 845, 589, 105 |
| 71, 163, 169, 589, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 71 x 163 x 169 x 589 x 21 = 725752435590
Therefore, the lowest common multiple of 426,489,845,589,630 is 725752435590.
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.
426 x 489 x 845 x 589 x 630 = 65317719203100
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
489 : 1, 3, 163, 489
845 : 1, 5, 13, 65, 169, 845
589 : 1, 19, 31, 589
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,489,845,589,630, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
489:3x 163
845:5x 13x 13
589:19x 31
630:2x 3x 3x 5x 7
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 5 = 90
Therefore, the value for common factors is 90.
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 = 65317719203100/(1x90)
LCM = 65317719203100/90
LCM = 725752435590
Thus, we can understand that the LCM of 426,489,845,589,630 is 725752435590.
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FAQs on LCM of 426, 489, 845, 589, 630
1. What is the LCM of 426, 489, 845, 589, 630?
Answer: LCM of 426, 489, 845, 589, 630 is 725752435590.
2. How to calculate the LCM of 426, 489, 845, 589, 630?
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 426, 489, 845, 589, 630.
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}.