Find the LCM of 253, 307, 307, 921 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 253, 307, 307, 921. So, keep reading to learn more.
Given numbers are 253,307,307,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,307,307,921 is 233013.
Find LCM of 253,307,307,921 with Prime Factorization
307 | 253, 307, 307, 921 |
253, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
307 x 253 x 1 x 1 x 3 = 233013
Therefore, the lowest common multiple of 253,307,307,921 is 233013.
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.
253 x 307 x 307 x 921 = 21961242237
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.
253 : 1, 11, 23, 253
307 : 1, 307
307 : 1, 307
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,307,307,921, is 1.
Now, the common factors can be found like this.
253:11x 23
307:307
307:307
921:3x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
307x 307 = 94249
Therefore, the value for common factors is 94249.
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 = 21961242237/(1x94249)
LCM = 21961242237/94249
LCM = 233013
Thus, we can understand that the LCM of 253,307,307,921 is 233013.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 307, 307, 921?
Answer: LCM of 253, 307, 307, 921 is 233013.
2. How to calculate the LCM of 253, 307, 307, 921?
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 253, 307, 307, 921.
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}.