Find the LCM of 298, 923, 430, 301, 105 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 298, 923, 430, 301, 105. So, keep reading to learn more.
Given numbers are 298,923,430,301,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,923,430,301,105 is 1241868810.
Find LCM of 298,923,430,301,105 with Prime Factorization
2 | 298, 923, 430, 301, 105 |
5 | 149, 923, 215, 301, 105 |
7 | 149, 923, 43, 301, 21 |
43 | 149, 923, 43, 43, 3 |
149, 923, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 43 x 149 x 923 x 1 x 1 x 3 = 1241868810
Therefore, the lowest common multiple of 298,923,430,301,105 is 1241868810.
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.
298 x 923 x 430 x 301 x 105 = 3738025118100
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.
298 : 1, 2, 149, 298
923 : 1, 13, 71, 923
430 : 1, 2, 5, 10, 43, 86, 215, 430
301 : 1, 7, 43, 301
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,923,430,301,105, is 1.
Now, the common factors can be found like this.
298:2x 149
923:13x 71
430:2x 5x 43
301:7x 43
105:3x 5x 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 5x 7x 43 = 3010
Therefore, the value for common factors is 3010.
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 = 3738025118100/(1x3010)
LCM = 3738025118100/3010
LCM = 1241868810
Thus, we can understand that the LCM of 298,923,430,301,105 is 1241868810.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 298, 923, 430, 301, 105?
Answer: LCM of 298, 923, 430, 301, 105 is 1241868810.
2. How to calculate the LCM of 298, 923, 430, 301, 105?
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 298, 923, 430, 301, 105.
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}.