LCM of 573, 916, 291, 855, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 916, 291, 855, 765 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, 916, 291, 855, 765. So, keep reading to learn more.
Given numbers are 573,916,291,855,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,916,291,855,765 is 246669589620.
Find LCM of 573,916,291,855,765 with Prime Factorization
| 3 | 573, 916, 291, 855, 765 |
| 3 | 191, 916, 97, 285, 255 |
| 5 | 191, 916, 97, 95, 85 |
| 191, 916, 97, 19, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 191 x 916 x 97 x 19 x 17 = 246669589620
Therefore, the lowest common multiple of 573,916,291,855,765 is 246669589620.
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 916 x 291 x 855 x 765 = 99901183796100
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
916 : 1, 2, 4, 229, 458, 916
291 : 1, 3, 97, 291
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,916,291,855,765, is 1.
Now, the common factors can be found like this.
573:3x 191
916:2x 2x 229
291:3x 97
855:3x 3x 5x 19
765:3x 3x 5x 17
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 3x 3x 5 = 405
Therefore, the value for common factors is 405.
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 = 99901183796100/(1x405)
LCM = 99901183796100/405
LCM = 246669589620
Thus, we can understand that the LCM of 573,916,291,855,765 is 246669589620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 573, 916, 291, 855, 765
1. What is the LCM of 573, 916, 291, 855, 765?
Answer: LCM of 573, 916, 291, 855, 765 is 246669589620.
2. How to calculate the LCM of 573, 916, 291, 855, 765?
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, 916, 291, 855, 765.
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}.