Find the LCM of 137, 343, 573, 262, 206 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 137, 343, 573, 262, 206. So, keep reading to learn more.
Given numbers are 137,343,573,262,206
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,343,573,262,206 is 726620799198.
Find LCM of 137,343,573,262,206 with Prime Factorization
2 | 137, 343, 573, 262, 206 |
137, 343, 573, 131, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 137 x 343 x 573 x 131 x 103 = 726620799198
Therefore, the lowest common multiple of 137,343,573,262,206 is 726620799198.
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.
137 x 343 x 573 x 262 x 206 = 1453241598396
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.
137 : 1, 137
343 : 1, 7, 49, 343
573 : 1, 3, 191, 573
262 : 1, 2, 131, 262
206 : 1, 2, 103, 206
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,343,573,262,206, is 1.
Now, the common factors can be found like this.
137:137
343:7x 7x 7
573:3x 191
262:2x 131
206:2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 1453241598396/(1x2)
LCM = 1453241598396/2
LCM = 726620799198
Thus, we can understand that the LCM of 137,343,573,262,206 is 726620799198.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 137, 343, 573, 262, 206?
Answer: LCM of 137, 343, 573, 262, 206 is 726620799198.
2. How to calculate the LCM of 137, 343, 573, 262, 206?
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 137, 343, 573, 262, 206.
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}.