LCM of 855, 875, 573, 259, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 875, 573, 259, 637 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 855, 875, 573, 259, 637. So, keep reading to learn more.
Given numbers are 855,875,573,259,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,875,573,259,637 is 96223388625.
Find LCM of 855,875,573,259,637 with Prime Factorization
| 3 | 855, 875, 573, 259, 637 |
| 5 | 285, 875, 191, 259, 637 |
| 7 | 57, 175, 191, 259, 637 |
| 57, 25, 191, 37, 91 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 57 x 25 x 191 x 37 x 91 = 96223388625
Therefore, the lowest common multiple of 855,875,573,259,637 is 96223388625.
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.
855 x 875 x 573 x 259 x 637 = 70724190639375
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
875 : 1, 5, 7, 25, 35, 125, 175, 875
573 : 1, 3, 191, 573
259 : 1, 7, 37, 259
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,875,573,259,637, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
875:5x 5x 5x 7
573:3x 191
259:7x 37
637:7x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 7 = 735
Therefore, the value for common factors is 735.
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 = 70724190639375/(1x735)
LCM = 70724190639375/735
LCM = 96223388625
Thus, we can understand that the LCM of 855,875,573,259,637 is 96223388625.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 855, 875, 573, 259, 637
1. What is the LCM of 855, 875, 573, 259, 637?
Answer: LCM of 855, 875, 573, 259, 637 is 96223388625.
2. How to calculate the LCM of 855, 875, 573, 259, 637?
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 855, 875, 573, 259, 637.
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}.