LCM of 137, 962, 923, 426, 343
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 962, 923, 426, 343 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, 962, 923, 426, 343. So, keep reading to learn more.
Given numbers are 137,962,923,426,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,962,923,426,343 is 9628737846.
Find LCM of 137,962,923,426,343 with Prime Factorization
| 2 | 137, 962, 923, 426, 343 |
| 13 | 137, 481, 923, 213, 343 |
| 71 | 137, 37, 71, 213, 343 |
| 137, 37, 1, 3, 343 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 71 x 137 x 37 x 1 x 3 x 343 = 9628737846
Therefore, the lowest common multiple of 137,962,923,426,343 is 9628737846.
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 962 x 923 x 426 x 343 = 17774650063716
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
962 : 1, 2, 13, 26, 37, 74, 481, 962
923 : 1, 13, 71, 923
426 : 1, 2, 3, 6, 71, 142, 213, 426
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,962,923,426,343, is 1.
Now, the common factors can be found like this.
137:137
962:2x 13x 37
923:13x 71
426:2x 3x 71
343:7x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 71 = 1846
Therefore, the value for common factors is 1846.
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 = 17774650063716/(1x1846)
LCM = 17774650063716/1846
LCM = 9628737846
Thus, we can understand that the LCM of 137,962,923,426,343 is 9628737846.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 137, 962, 923, 426, 343
1. What is the LCM of 137, 962, 923, 426, 343?
Answer: LCM of 137, 962, 923, 426, 343 is 9628737846.
2. How to calculate the LCM of 137, 962, 923, 426, 343?
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, 962, 923, 426, 343.
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}.