Find the LCM of 231, 542, 271, 757 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 231, 542, 271, 757. So, keep reading to learn more.
Given numbers are 231,542,271,757
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,542,271,757 is 94777914.
Find LCM of 231,542,271,757 with Prime Factorization
271 | 231, 542, 271, 757 |
231, 2, 1, 757 |
Multiply the prime numbers at the bottom and the left side.
271 x 231 x 2 x 1 x 757 = 94777914
Therefore, the lowest common multiple of 231,542,271,757 is 94777914.
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.
231 x 542 x 271 x 757 = 25684814694
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
542 : 1, 2, 271, 542
271 : 1, 271
757 : 1, 757
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,542,271,757, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
542:2x 271
271:271
757:757
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
271 = 271
Therefore, the value for common factors is 271.
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 = 25684814694/(1x271)
LCM = 25684814694/271
LCM = 94777914
Thus, we can understand that the LCM of 231,542,271,757 is 94777914.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 231, 542, 271, 757?
Answer: LCM of 231, 542, 271, 757 is 94777914.
2. How to calculate the LCM of 231, 542, 271, 757?
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 231, 542, 271, 757.
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}.