Find the LCM of 237, 337, 316, 222, 222 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 237, 337, 316, 222, 222. So, keep reading to learn more.
Given numbers are 237,337,316,222,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,337,316,222,222 is 11820612.
Find LCM of 237,337,316,222,222 with Prime Factorization
2 | 237, 337, 316, 222, 222 |
3 | 237, 337, 158, 111, 111 |
37 | 79, 337, 158, 37, 37 |
79 | 79, 337, 158, 1, 1 |
1, 337, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 79 x 1 x 337 x 2 x 1 x 1 = 11820612
Therefore, the lowest common multiple of 237,337,316,222,222 is 11820612.
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.
237 x 337 x 316 x 222 x 222 = 1243859359536
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.
237 : 1, 3, 79, 237
337 : 1, 337
316 : 1, 2, 4, 79, 158, 316
222 : 1, 2, 3, 6, 37, 74, 111, 222
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,337,316,222,222, is 1.
Now, the common factors can be found like this.
237:3x 79
337:337
316:2x 2x 79
222:2x 3x 37
222:2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 37x 79 = 105228
Therefore, the value for common factors is 105228.
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 = 1243859359536/(1x105228)
LCM = 1243859359536/105228
LCM = 11820612
Thus, we can understand that the LCM of 237,337,316,222,222 is 11820612.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 237, 337, 316, 222, 222?
Answer: LCM of 237, 337, 316, 222, 222 is 11820612.
2. How to calculate the LCM of 237, 337, 316, 222, 222?
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 237, 337, 316, 222, 222.
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}.