Find the LCM of 253, 851, 118, 412 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, 851, 118, 412. So, keep reading to learn more.
Given numbers are 253,851,118,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,851,118,412 is 227547188.
Find LCM of 253,851,118,412 with Prime Factorization
2 | 253, 851, 118, 412 |
23 | 253, 851, 59, 206 |
11, 37, 59, 206 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 11 x 37 x 59 x 206 = 227547188
Therefore, the lowest common multiple of 253,851,118,412 is 227547188.
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 851 x 118 x 412 = 10467170648
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
851 : 1, 23, 37, 851
118 : 1, 2, 59, 118
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,851,118,412, is 1.
Now, the common factors can be found like this.
253:11x 23
851:23x 37
118:2x 59
412:2x 2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 10467170648/(1x46)
LCM = 10467170648/46
LCM = 227547188
Thus, we can understand that the LCM of 253,851,118,412 is 227547188.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 851, 118, 412?
Answer: LCM of 253, 851, 118, 412 is 227547188.
2. How to calculate the LCM of 253, 851, 118, 412?
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, 851, 118, 412.
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}.