Find the LCM of 269, 714, 226, 221 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 269, 714, 226, 221. So, keep reading to learn more.
Given numbers are 269,714,226,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,714,226,221 is 282144954.
Find LCM of 269,714,226,221 with Prime Factorization
2 | 269, 714, 226, 221 |
17 | 269, 357, 113, 221 |
269, 21, 113, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 269 x 21 x 113 x 13 = 282144954
Therefore, the lowest common multiple of 269,714,226,221 is 282144954.
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.
269 x 714 x 226 x 221 = 9592928436
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.
269 : 1, 269
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
226 : 1, 2, 113, 226
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,714,226,221, is 1.
Now, the common factors can be found like this.
269:269
714:2x 3x 7x 17
226:2x 113
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 9592928436/(1x34)
LCM = 9592928436/34
LCM = 282144954
Thus, we can understand that the LCM of 269,714,226,221 is 282144954.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 269, 714, 226, 221?
Answer: LCM of 269, 714, 226, 221 is 282144954.
2. How to calculate the LCM of 269, 714, 226, 221?
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 269, 714, 226, 221.
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}.