Find the LCM of 343, 149, 183, 397, 671 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 343, 149, 183, 397, 671. So, keep reading to learn more.
Given numbers are 343,149,183,397,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,149,183,397,671 is 40842721227.
Find LCM of 343,149,183,397,671 with Prime Factorization
61 | 343, 149, 183, 397, 671 |
343, 149, 3, 397, 11 |
Multiply the prime numbers at the bottom and the left side.
61 x 343 x 149 x 3 x 397 x 11 = 40842721227
Therefore, the lowest common multiple of 343,149,183,397,671 is 40842721227.
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.
343 x 149 x 183 x 397 x 671 = 2491405994847
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.
343 : 1, 7, 49, 343
149 : 1, 149
183 : 1, 3, 61, 183
397 : 1, 397
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,149,183,397,671, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
149:149
183:3x 61
397:397
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
61 = 61
Therefore, the value for common factors is 61.
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 = 2491405994847/(1x61)
LCM = 2491405994847/61
LCM = 40842721227
Thus, we can understand that the LCM of 343,149,183,397,671 is 40842721227.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 149, 183, 397, 671?
Answer: LCM of 343, 149, 183, 397, 671 is 40842721227.
2. How to calculate the LCM of 343, 149, 183, 397, 671?
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 343, 149, 183, 397, 671.
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}.