LCM of 143, 851, 689, 555, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 851, 689, 555, 891 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 143, 851, 689, 555, 891. So, keep reading to learn more.
Given numbers are 143,851,689,555,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,851,689,555,891 is 2612140245.
Find LCM of 143,851,689,555,891 with Prime Factorization
| 3 | 143, 851, 689, 555, 891 |
| 11 | 143, 851, 689, 185, 297 |
| 13 | 13, 851, 689, 185, 27 |
| 37 | 1, 851, 53, 185, 27 |
| 1, 23, 53, 5, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 37 x 1 x 23 x 53 x 5 x 27 = 2612140245
Therefore, the lowest common multiple of 143,851,689,555,891 is 2612140245.
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.
143 x 851 x 689 x 555 x 891 = 41462502108885
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.
143 : 1, 11, 13, 143
851 : 1, 23, 37, 851
689 : 1, 13, 53, 689
555 : 1, 3, 5, 15, 37, 111, 185, 555
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,851,689,555,891, is 1.
Now, the common factors can be found like this.
143:11x 13
851:23x 37
689:13x 53
555:3x 5x 37
891:3x 3x 3x 3x 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 11x 13x 37 = 15873
Therefore, the value for common factors is 15873.
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 = 41462502108885/(1x15873)
LCM = 41462502108885/15873
LCM = 2612140245
Thus, we can understand that the LCM of 143,851,689,555,891 is 2612140245.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 143, 851, 689, 555, 891
1. What is the LCM of 143, 851, 689, 555, 891?
Answer: LCM of 143, 851, 689, 555, 891 is 2612140245.
2. How to calculate the LCM of 143, 851, 689, 555, 891?
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 143, 851, 689, 555, 891.
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}.