Find the LCM of 988, 133, 171, 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 988, 133, 171, 278. So, keep reading to learn more.
Given numbers are 988,133,171,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,133,171,278 is 8651916.
Find LCM of 988,133,171,278 with Prime Factorization
2 | 988, 133, 171, 278 |
19 | 494, 133, 171, 139 |
26, 7, 9, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 26 x 7 x 9 x 139 = 8651916
Therefore, the lowest common multiple of 988,133,171,278 is 8651916.
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.
988 x 133 x 171 x 278 = 6246683352
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
133 : 1, 7, 19, 133
171 : 1, 3, 9, 19, 57, 171
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,133,171,278, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
133:7x 19
171:3x 3x 19
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 19x 19 = 722
Therefore, the value for common factors is 722.
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 = 6246683352/(1x722)
LCM = 6246683352/722
LCM = 8651916
Thus, we can understand that the LCM of 988,133,171,278 is 8651916.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 988, 133, 171, 278?
Answer: LCM of 988, 133, 171, 278 is 8651916.
2. How to calculate the LCM of 988, 133, 171, 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 988, 133, 171, 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}.