LCM of 565, 638, 473, 546, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 638, 473, 546, 489 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 565, 638, 473, 546, 489. So, keep reading to learn more.
Given numbers are 565,638,473,546,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,638,473,546,489 is 689743844790.
Find LCM of 565,638,473,546,489 with Prime Factorization
| 2 | 565, 638, 473, 546, 489 |
| 3 | 565, 319, 473, 273, 489 |
| 11 | 565, 319, 473, 91, 163 |
| 565, 29, 43, 91, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 565 x 29 x 43 x 91 x 163 = 689743844790
Therefore, the lowest common multiple of 565,638,473,546,489 is 689743844790.
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.
565 x 638 x 473 x 546 x 489 = 45523093756140
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.
565 : 1, 5, 113, 565
638 : 1, 2, 11, 22, 29, 58, 319, 638
473 : 1, 11, 43, 473
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,638,473,546,489, is 1.
Now, the common factors can be found like this.
565:5x 113
638:2x 11x 29
473:11x 43
546:2x 3x 7x 13
489:3x 163
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 11 = 66
Therefore, the value for common factors is 66.
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 = 45523093756140/(1x66)
LCM = 45523093756140/66
LCM = 689743844790
Thus, we can understand that the LCM of 565,638,473,546,489 is 689743844790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 565, 638, 473, 546, 489
1. What is the LCM of 565, 638, 473, 546, 489?
Answer: LCM of 565, 638, 473, 546, 489 is 689743844790.
2. How to calculate the LCM of 565, 638, 473, 546, 489?
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 565, 638, 473, 546, 489.
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}.