LCM of 564, 861, 554, 525, 621
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 861, 554, 525, 621 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, 861, 554, 525, 621. So, keep reading to learn more.
Given numbers are 564,861,554,525,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,861,554,525,621 is 232033731300.
Find LCM of 564,861,554,525,621 with Prime Factorization
| 2 | 564, 861, 554, 525, 621 |
| 3 | 282, 861, 277, 525, 621 |
| 7 | 94, 287, 277, 175, 207 |
| 94, 41, 277, 25, 207 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 94 x 41 x 277 x 25 x 207 = 232033731300
Therefore, the lowest common multiple of 564,861,554,525,621 is 232033731300.
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 861 x 554 x 525 x 621 = 87708750431400
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
861 : 1, 3, 7, 21, 41, 123, 287, 861
554 : 1, 2, 277, 554
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,861,554,525,621, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
861:3x 7x 41
554:2x 277
525:3x 5x 5x 7
621:3x 3x 3x 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 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 87708750431400/(1x378)
LCM = 87708750431400/378
LCM = 232033731300
Thus, we can understand that the LCM of 564,861,554,525,621 is 232033731300.
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FAQs on LCM of 564, 861, 554, 525, 621
1. What is the LCM of 564, 861, 554, 525, 621?
Answer: LCM of 564, 861, 554, 525, 621 is 232033731300.
2. How to calculate the LCM of 564, 861, 554, 525, 621?
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, 861, 554, 525, 621.
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}.