LCM of 541, 988, 923, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 988, 923, 426 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 541, 988, 923, 426. So, keep reading to learn more.
Given numbers are 541,988,923,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,988,923,426 is 113850204.
Find LCM of 541,988,923,426 with Prime Factorization
| 2 | 541, 988, 923, 426 |
| 13 | 541, 494, 923, 213 |
| 71 | 541, 38, 71, 213 |
| 541, 38, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 71 x 541 x 38 x 1 x 3 = 113850204
Therefore, the lowest common multiple of 541,988,923,426 is 113850204.
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.
541 x 988 x 923 x 426 = 210167476584
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.
541 : 1, 541
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
923 : 1, 13, 71, 923
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,988,923,426, is 1.
Now, the common factors can be found like this.
541:541
988:2x 2x 13x 19
923:13x 71
426:2x 3x 71
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 = 210167476584/(1x1846)
LCM = 210167476584/1846
LCM = 113850204
Thus, we can understand that the LCM of 541,988,923,426 is 113850204.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 541, 988, 923, 426
1. What is the LCM of 541, 988, 923, 426?
Answer: LCM of 541, 988, 923, 426 is 113850204.
2. How to calculate the LCM of 541, 988, 923, 426?
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 541, 988, 923, 426.
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}.