LCM of 187, 610, 845, 535, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 610, 845, 535, 561 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 187, 610, 845, 535, 561. So, keep reading to learn more.
Given numbers are 187,610,845,535,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,610,845,535,561 is 6188183430.
Find LCM of 187,610,845,535,561 with Prime Factorization
| 5 | 187, 610, 845, 535, 561 |
| 11 | 187, 122, 169, 107, 561 |
| 17 | 17, 122, 169, 107, 51 |
| 1, 122, 169, 107, 3 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 17 x 1 x 122 x 169 x 107 x 3 = 6188183430
Therefore, the lowest common multiple of 187,610,845,535,561 is 6188183430.
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.
187 x 610 x 845 x 535 x 561 = 28929757535250
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.
187 : 1, 11, 17, 187
610 : 1, 2, 5, 10, 61, 122, 305, 610
845 : 1, 5, 13, 65, 169, 845
535 : 1, 5, 107, 535
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,610,845,535,561, is 1.
Now, the common factors can be found like this.
187:11x 17
610:2x 5x 61
845:5x 13x 13
535:5x 107
561:3x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 11x 17 = 4675
Therefore, the value for common factors is 4675.
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 = 28929757535250/(1x4675)
LCM = 28929757535250/4675
LCM = 6188183430
Thus, we can understand that the LCM of 187,610,845,535,561 is 6188183430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 610, 845, 535, 561
1. What is the LCM of 187, 610, 845, 535, 561?
Answer: LCM of 187, 610, 845, 535, 561 is 6188183430.
2. How to calculate the LCM of 187, 610, 845, 535, 561?
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 187, 610, 845, 535, 561.
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}.