Find the LCM of 278, 471, 973, 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 278, 471, 973, 221. So, keep reading to learn more.
Given numbers are 278,471,973,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,471,973,221 is 202561086.
Find LCM of 278,471,973,221 with Prime Factorization
139 | 278, 471, 973, 221 |
2, 471, 7, 221 |
Multiply the prime numbers at the bottom and the left side.
139 x 2 x 471 x 7 x 221 = 202561086
Therefore, the lowest common multiple of 278,471,973,221 is 202561086.
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.
278 x 471 x 973 x 221 = 28155990954
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.
278 : 1, 2, 139, 278
471 : 1, 3, 157, 471
973 : 1, 7, 139, 973
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,471,973,221, is 1.
Now, the common factors can be found like this.
278:2x 139
471:3x 157
973:7x 139
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.
139 = 139
Therefore, the value for common factors is 139.
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 = 28155990954/(1x139)
LCM = 28155990954/139
LCM = 202561086
Thus, we can understand that the LCM of 278,471,973,221 is 202561086.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 278, 471, 973, 221?
Answer: LCM of 278, 471, 973, 221 is 202561086.
2. How to calculate the LCM of 278, 471, 973, 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 278, 471, 973, 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}.