Find the LCM of 916, 314, 394, 441, 724 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 916, 314, 394, 441, 724. So, keep reading to learn more.
Given numbers are 916,314,394,441,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,314,394,441,724 is 2261405877444.
Find LCM of 916,314,394,441,724 with Prime Factorization
2 | 916, 314, 394, 441, 724 |
2 | 458, 157, 197, 441, 362 |
229, 157, 197, 441, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 229 x 157 x 197 x 441 x 181 = 2261405877444
Therefore, the lowest common multiple of 916,314,394,441,724 is 2261405877444.
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.
916 x 314 x 394 x 441 x 724 = 36182494039104
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.
916 : 1, 2, 4, 229, 458, 916
314 : 1, 2, 157, 314
394 : 1, 2, 197, 394
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,314,394,441,724, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
314:2x 157
394:2x 197
441:3x 3x 7x 7
724:2x 2x 181
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 2 = 16
Therefore, the value for common factors is 16.
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 = 36182494039104/(1x16)
LCM = 36182494039104/16
LCM = 2261405877444
Thus, we can understand that the LCM of 916,314,394,441,724 is 2261405877444.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 916, 314, 394, 441, 724?
Answer: LCM of 916, 314, 394, 441, 724 is 2261405877444.
2. How to calculate the LCM of 916, 314, 394, 441, 724?
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 916, 314, 394, 441, 724.
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}.