Find the LCM of 139, 556, 376, 393, 278 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 139, 556, 376, 393, 278. So, keep reading to learn more.
Given numbers are 139,556,376,393,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,556,376,393,278 is 20539752.
Find LCM of 139,556,376,393,278 with Prime Factorization
2 | 139, 556, 376, 393, 278 |
2 | 139, 278, 188, 393, 139 |
139 | 139, 139, 94, 393, 139 |
1, 1, 94, 393, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 139 x 1 x 1 x 94 x 393 x 1 = 20539752
Therefore, the lowest common multiple of 139,556,376,393,278 is 20539752.
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.
139 x 556 x 376 x 393 x 278 = 3174788387136
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.
139 : 1, 139
556 : 1, 2, 4, 139, 278, 556
376 : 1, 2, 4, 8, 47, 94, 188, 376
393 : 1, 3, 131, 393
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,556,376,393,278, is 1.
Now, the common factors can be found like this.
139:139
556:2x 2x 139
376:2x 2x 2x 47
393:3x 131
278:2x 139
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 139x 139 = 154568
Therefore, the value for common factors is 154568.
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 = 3174788387136/(1x154568)
LCM = 3174788387136/154568
LCM = 20539752
Thus, we can understand that the LCM of 139,556,376,393,278 is 20539752.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 139, 556, 376, 393, 278?
Answer: LCM of 139, 556, 376, 393, 278 is 20539752.
2. How to calculate the LCM of 139, 556, 376, 393, 278?
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 139, 556, 376, 393, 278.
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}.