LCM of 955, 573, 675, 825, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 955, 573, 675, 825, 539 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 955, 573, 675, 825, 539. So, keep reading to learn more.
Given numbers are 955,573,675,825,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,573,675,825,539 is 69490575.
Find LCM of 955,573,675,825,539 with Prime Factorization
| 3 | 955, 573, 675, 825, 539 |
| 5 | 955, 191, 225, 275, 539 |
| 5 | 191, 191, 45, 55, 539 |
| 11 | 191, 191, 9, 11, 539 |
| 191 | 191, 191, 9, 1, 49 |
| 1, 1, 9, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 11 x 191 x 1 x 1 x 9 x 1 x 49 = 69490575
Therefore, the lowest common multiple of 955,573,675,825,539 is 69490575.
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.
955 x 573 x 675 x 825 x 539 = 164249660334375
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.
955 : 1, 5, 191, 955
573 : 1, 3, 191, 573
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,573,675,825,539, is 1.
Now, the common factors can be found like this.
955:5x 191
573:3x 191
675:3x 3x 3x 5x 5
825:3x 5x 5x 11
539:7x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 5x 11x 191 = 2363625
Therefore, the value for common factors is 2363625.
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 = 164249660334375/(1x2363625)
LCM = 164249660334375/2363625
LCM = 69490575
Thus, we can understand that the LCM of 955,573,675,825,539 is 69490575.
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FAQs on LCM of 955, 573, 675, 825, 539
1. What is the LCM of 955, 573, 675, 825, 539?
Answer: LCM of 955, 573, 675, 825, 539 is 69490575.
2. How to calculate the LCM of 955, 573, 675, 825, 539?
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 955, 573, 675, 825, 539.
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}.