Find the LCM of 627, 814, 279, 372, 931 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 627, 814, 279, 372, 931. So, keep reading to learn more.
Given numbers are 627,814,279,372,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,814,279,372,931 is 422871372.
Find LCM of 627,814,279,372,931 with Prime Factorization
2 | 627, 814, 279, 372, 931 |
3 | 627, 407, 279, 186, 931 |
11 | 209, 407, 93, 62, 931 |
19 | 19, 37, 93, 62, 931 |
31 | 1, 37, 93, 62, 49 |
1, 37, 3, 2, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 31 x 1 x 37 x 3 x 2 x 49 = 422871372
Therefore, the lowest common multiple of 627,814,279,372,931 is 422871372.
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.
627 x 814 x 279 x 372 x 931 = 49316105145384
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
814 : 1, 2, 11, 22, 37, 74, 407, 814
279 : 1, 3, 9, 31, 93, 279
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,814,279,372,931, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
814:2x 11x 37
279:3x 3x 31
372:2x 2x 3x 31
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 19x 31 = 116622
Therefore, the value for common factors is 116622.
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 = 49316105145384/(1x116622)
LCM = 49316105145384/116622
LCM = 422871372
Thus, we can understand that the LCM of 627,814,279,372,931 is 422871372.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 814, 279, 372, 931?
Answer: LCM of 627, 814, 279, 372, 931 is 422871372.
2. How to calculate the LCM of 627, 814, 279, 372, 931?
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 627, 814, 279, 372, 931.
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}.