Find the LCM of 131, 461, 194, 679 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 131, 461, 194, 679. So, keep reading to learn more.
Given numbers are 131,461,194,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,461,194,679 is 82010978.
Find LCM of 131,461,194,679 with Prime Factorization
97 | 131, 461, 194, 679 |
131, 461, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
97 x 131 x 461 x 2 x 7 = 82010978
Therefore, the lowest common multiple of 131,461,194,679 is 82010978.
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.
131 x 461 x 194 x 679 = 7955064866
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.
131 : 1, 131
461 : 1, 461
194 : 1, 2, 97, 194
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,461,194,679, is 1.
Now, the common factors can be found like this.
131:131
461:461
194:2x 97
679:7x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
97 = 97
Therefore, the value for common factors is 97.
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 = 7955064866/(1x97)
LCM = 7955064866/97
LCM = 82010978
Thus, we can understand that the LCM of 131,461,194,679 is 82010978.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 131, 461, 194, 679?
Answer: LCM of 131, 461, 194, 679 is 82010978.
2. How to calculate the LCM of 131, 461, 194, 679?
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 131, 461, 194, 679.
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}.