Find the LCM of 314, 314, 534, 182, 979 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 314, 314, 534, 182, 979. So, keep reading to learn more.
Given numbers are 314,314,534,182,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,314,534,182,979 is 83921838.
Find LCM of 314,314,534,182,979 with Prime Factorization
2 | 314, 314, 534, 182, 979 |
89 | 157, 157, 267, 91, 979 |
157 | 157, 157, 3, 91, 11 |
1, 1, 3, 91, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 89 x 157 x 1 x 1 x 3 x 91 x 11 = 83921838
Therefore, the lowest common multiple of 314,314,534,182,979 is 83921838.
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.
314 x 314 x 534 x 182 x 979 = 9381118738992
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.
314 : 1, 2, 157, 314
314 : 1, 2, 157, 314
534 : 1, 2, 3, 6, 89, 178, 267, 534
182 : 1, 2, 7, 13, 14, 26, 91, 182
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,314,534,182,979, is 1.
Now, the common factors can be found like this.
314:2x 157
314:2x 157
534:2x 3x 89
182:2x 7x 13
979:11x 89
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 89x 157 = 111784
Therefore, the value for common factors is 111784.
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 = 9381118738992/(1x111784)
LCM = 9381118738992/111784
LCM = 83921838
Thus, we can understand that the LCM of 314,314,534,182,979 is 83921838.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 314, 314, 534, 182, 979?
Answer: LCM of 314, 314, 534, 182, 979 is 83921838.
2. How to calculate the LCM of 314, 314, 534, 182, 979?
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 314, 314, 534, 182, 979.
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}.