Find the LCM of 221, 247, 254, 387 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 221, 247, 254, 387. So, keep reading to learn more.
Given numbers are 221,247,254,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,247,254,387 is 412753302.
Find LCM of 221,247,254,387 with Prime Factorization
13 | 221, 247, 254, 387 |
17, 19, 254, 387 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 19 x 254 x 387 = 412753302
Therefore, the lowest common multiple of 221,247,254,387 is 412753302.
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.
221 x 247 x 254 x 387 = 5365792926
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.
221 : 1, 13, 17, 221
247 : 1, 13, 19, 247
254 : 1, 2, 127, 254
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,247,254,387, is 1.
Now, the common factors can be found like this.
221:13x 17
247:13x 19
254:2x 127
387:3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 5365792926/(1x13)
LCM = 5365792926/13
LCM = 412753302
Thus, we can understand that the LCM of 221,247,254,387 is 412753302.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 221, 247, 254, 387?
Answer: LCM of 221, 247, 254, 387 is 412753302.
2. How to calculate the LCM of 221, 247, 254, 387?
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 221, 247, 254, 387.
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}.