Find the LCM of 398, 658, 685, 274 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 398, 658, 685, 274. So, keep reading to learn more.
Given numbers are 398,658,685,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,658,685,274 is 89695270.
Find LCM of 398,658,685,274 with Prime Factorization
2 | 398, 658, 685, 274 |
137 | 199, 329, 685, 137 |
199, 329, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 137 x 199 x 329 x 5 x 1 = 89695270
Therefore, the lowest common multiple of 398,658,685,274 is 89695270.
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.
398 x 658 x 685 x 274 = 49153007960
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.
398 : 1, 2, 199, 398
658 : 1, 2, 7, 14, 47, 94, 329, 658
685 : 1, 5, 137, 685
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,658,685,274, is 1.
Now, the common factors can be found like this.
398:2x 199
658:2x 7x 47
685:5x 137
274:2x 137
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 137 = 548
Therefore, the value for common factors is 548.
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 = 49153007960/(1x548)
LCM = 49153007960/548
LCM = 89695270
Thus, we can understand that the LCM of 398,658,685,274 is 89695270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 398, 658, 685, 274?
Answer: LCM of 398, 658, 685, 274 is 89695270.
2. How to calculate the LCM of 398, 658, 685, 274?
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 398, 658, 685, 274.
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}.