Find the LCM of 367, 546, 138, 196, 196 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 367, 546, 138, 196, 196. So, keep reading to learn more.
Given numbers are 367,546,138,196,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,546,138,196,196 is 64523004.
Find LCM of 367,546,138,196,196 with Prime Factorization
2 | 367, 546, 138, 196, 196 |
2 | 367, 273, 69, 98, 98 |
3 | 367, 273, 69, 49, 49 |
7 | 367, 91, 23, 49, 49 |
7 | 367, 13, 23, 7, 7 |
367, 13, 23, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 367 x 13 x 23 x 1 x 1 = 64523004
Therefore, the lowest common multiple of 367,546,138,196,196 is 64523004.
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.
367 x 546 x 138 x 196 x 196 = 1062306737856
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.
367 : 1, 367
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
138 : 1, 2, 3, 6, 23, 46, 69, 138
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,546,138,196,196, is 1.
Now, the common factors can be found like this.
367:367
546:2x 3x 7x 13
138:2x 3x 23
196:2x 2x 7x 7
196:2x 2x 7x 7
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 2x 2x 3x 7x 7x 7 = 16464
Therefore, the value for common factors is 16464.
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 = 1062306737856/(1x16464)
LCM = 1062306737856/16464
LCM = 64523004
Thus, we can understand that the LCM of 367,546,138,196,196 is 64523004.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 367, 546, 138, 196, 196?
Answer: LCM of 367, 546, 138, 196, 196 is 64523004.
2. How to calculate the LCM of 367, 546, 138, 196, 196?
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 367, 546, 138, 196, 196.
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}.