Find the LCM of 634, 985, 920, 141, 131 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 634, 985, 920, 141, 131. So, keep reading to learn more.
Given numbers are 634,985,920,141,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,985,920,141,131 is 1061215840680.
Find LCM of 634,985,920,141,131 with Prime Factorization
2 | 634, 985, 920, 141, 131 |
5 | 317, 985, 460, 141, 131 |
317, 197, 92, 141, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 317 x 197 x 92 x 141 x 131 = 1061215840680
Therefore, the lowest common multiple of 634,985,920,141,131 is 1061215840680.
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.
634 x 985 x 920 x 141 x 131 = 10612158406800
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.
634 : 1, 2, 317, 634
985 : 1, 5, 197, 985
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
141 : 1, 3, 47, 141
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,985,920,141,131, is 1.
Now, the common factors can be found like this.
634:2x 317
985:5x 197
920:2x 2x 2x 5x 23
141:3x 47
131:131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 10612158406800/(1x10)
LCM = 10612158406800/10
LCM = 1061215840680
Thus, we can understand that the LCM of 634,985,920,141,131 is 1061215840680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 634, 985, 920, 141, 131?
Answer: LCM of 634, 985, 920, 141, 131 is 1061215840680.
2. How to calculate the LCM of 634, 985, 920, 141, 131?
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 634, 985, 920, 141, 131.
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}.