LCM of 805, 535, 189, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 535, 189, 781 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 805, 535, 189, 781. So, keep reading to learn more.
Given numbers are 805,535,189,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,535,189,781 is 1816328745.
Find LCM of 805,535,189,781 with Prime Factorization
| 5 | 805, 535, 189, 781 |
| 7 | 161, 107, 189, 781 |
| 23, 107, 27, 781 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 23 x 107 x 27 x 781 = 1816328745
Therefore, the lowest common multiple of 805,535,189,781 is 1816328745.
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.
805 x 535 x 189 x 781 = 63571506075
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
535 : 1, 5, 107, 535
189 : 1, 3, 7, 9, 21, 27, 63, 189
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,535,189,781, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
535:5x 107
189:3x 3x 3x 7
781:11x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7 = 35
Therefore, the value for common factors is 35.
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 = 63571506075/(1x35)
LCM = 63571506075/35
LCM = 1816328745
Thus, we can understand that the LCM of 805,535,189,781 is 1816328745.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 805, 535, 189, 781
1. What is the LCM of 805, 535, 189, 781?
Answer: LCM of 805, 535, 189, 781 is 1816328745.
2. How to calculate the LCM of 805, 535, 189, 781?
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 805, 535, 189, 781.
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}.