LCM of 573, 549, 885, 295, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 549, 885, 295, 868 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 573, 549, 885, 295, 868. So, keep reading to learn more.
Given numbers are 573,549,885,295,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,549,885,295,868 is 26850195540.
Find LCM of 573,549,885,295,868 with Prime Factorization
| 3 | 573, 549, 885, 295, 868 |
| 5 | 191, 183, 295, 295, 868 |
| 59 | 191, 183, 59, 59, 868 |
| 191, 183, 1, 1, 868 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 59 x 191 x 183 x 1 x 1 x 868 = 26850195540
Therefore, the lowest common multiple of 573,549,885,295,868 is 26850195540.
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.
573 x 549 x 885 x 295 x 868 = 71287269158700
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.
573 : 1, 3, 191, 573
549 : 1, 3, 9, 61, 183, 549
885 : 1, 3, 5, 15, 59, 177, 295, 885
295 : 1, 5, 59, 295
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,549,885,295,868, is 1.
Now, the common factors can be found like this.
573:3x 191
549:3x 3x 61
885:3x 5x 59
295:5x 59
868:2x 2x 7x 31
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 59 = 2655
Therefore, the value for common factors is 2655.
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 = 71287269158700/(1x2655)
LCM = 71287269158700/2655
LCM = 26850195540
Thus, we can understand that the LCM of 573,549,885,295,868 is 26850195540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 573, 549, 885, 295, 868
1. What is the LCM of 573, 549, 885, 295, 868?
Answer: LCM of 573, 549, 885, 295, 868 is 26850195540.
2. How to calculate the LCM of 573, 549, 885, 295, 868?
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 573, 549, 885, 295, 868.
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}.