Find the LCM of 423, 867, 299, 291 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 423, 867, 299, 291. So, keep reading to learn more.
Given numbers are 423,867,299,291
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 423,867,299,291 is 3545529741.
Find LCM of 423,867,299,291 with Prime Factorization
3 | 423, 867, 299, 291 |
141, 289, 299, 97 |
Multiply the prime numbers at the bottom and the left side.
3 x 141 x 289 x 299 x 97 = 3545529741
Therefore, the lowest common multiple of 423,867,299,291 is 3545529741.
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.
423 x 867 x 299 x 291 = 31909767669
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.
423 : 1, 3, 9, 47, 141, 423
867 : 1, 3, 17, 51, 289, 867
299 : 1, 13, 23, 299
291 : 1, 3, 97, 291
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,867,299,291, is 1.
Now, the common factors can be found like this.
423:3x 3x 47
867:3x 17x 17
299:13x 23
291:3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 31909767669/(1x9)
LCM = 31909767669/9
LCM = 3545529741
Thus, we can understand that the LCM of 423,867,299,291 is 3545529741.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 423, 867, 299, 291?
Answer: LCM of 423, 867, 299, 291 is 3545529741.
2. How to calculate the LCM of 423, 867, 299, 291?
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 423, 867, 299, 291.
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}.