LCM of 564, 371, 296, 567, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 371, 296, 567, 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 564, 371, 296, 567, 489. So, keep reading to learn more.
Given numbers are 564,371,296,567,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,371,296,567,489 is 68145330456.
Find LCM of 564,371,296,567,489 with Prime Factorization
| 2 | 564, 371, 296, 567, 489 |
| 2 | 282, 371, 148, 567, 489 |
| 3 | 141, 371, 74, 567, 489 |
| 7 | 47, 371, 74, 189, 163 |
| 47, 53, 74, 27, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 47 x 53 x 74 x 27 x 163 = 68145330456
Therefore, the lowest common multiple of 564,371,296,567,489 is 68145330456.
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.
564 x 371 x 296 x 567 x 489 = 17172623274912
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
371 : 1, 7, 53, 371
296 : 1, 2, 4, 8, 37, 74, 148, 296
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,371,296,567,489, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
371:7x 53
296:2x 2x 2x 37
567:3x 3x 3x 3x 7
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 2x 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 17172623274912/(1x252)
LCM = 17172623274912/252
LCM = 68145330456
Thus, we can understand that the LCM of 564,371,296,567,489 is 68145330456.
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FAQs on LCM of 564, 371, 296, 567, 489
1. What is the LCM of 564, 371, 296, 567, 489?
Answer: LCM of 564, 371, 296, 567, 489 is 68145330456.
2. How to calculate the LCM of 564, 371, 296, 567, 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 564, 371, 296, 567, 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}.