LCM of 829, 556, 271, 556, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 829, 556, 271, 556, 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 829, 556, 271, 556, 781. So, keep reading to learn more.
Given numbers are 829,556,271,556,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,556,271,556,781 is 97555025524.
Find LCM of 829,556,271,556,781 with Prime Factorization
| 2 | 829, 556, 271, 556, 781 |
| 2 | 829, 278, 271, 278, 781 |
| 139 | 829, 139, 271, 139, 781 |
| 829, 1, 271, 1, 781 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 139 x 829 x 1 x 271 x 1 x 781 = 97555025524
Therefore, the lowest common multiple of 829,556,271,556,781 is 97555025524.
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.
829 x 556 x 271 x 556 x 781 = 54240594191344
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.
829 : 1, 829
556 : 1, 2, 4, 139, 278, 556
271 : 1, 271
556 : 1, 2, 4, 139, 278, 556
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,556,271,556,781, is 1.
Now, the common factors can be found like this.
829:829
556:2x 2x 139
271:271
556:2x 2x 139
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.
2x 2x 139 = 556
Therefore, the value for common factors is 556.
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 = 54240594191344/(1x556)
LCM = 54240594191344/556
LCM = 97555025524
Thus, we can understand that the LCM of 829,556,271,556,781 is 97555025524.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 829, 556, 271, 556, 781
1. What is the LCM of 829, 556, 271, 556, 781?
Answer: LCM of 829, 556, 271, 556, 781 is 97555025524.
2. How to calculate the LCM of 829, 556, 271, 556, 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 829, 556, 271, 556, 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}.