Find the LCM of 441, 681, 147, 418 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 441, 681, 147, 418. So, keep reading to learn more.
Given numbers are 441,681,147,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,681,147,418 is 41844726.
Find LCM of 441,681,147,418 with Prime Factorization
3 | 441, 681, 147, 418 |
7 | 147, 227, 49, 418 |
7 | 21, 227, 7, 418 |
3, 227, 1, 418 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 7 x 3 x 227 x 1 x 418 = 41844726
Therefore, the lowest common multiple of 441,681,147,418 is 41844726.
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.
441 x 681 x 147 x 418 = 18453524166
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
681 : 1, 3, 227, 681
147 : 1, 3, 7, 21, 49, 147
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,681,147,418, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
681:3x 227
147:3x 7x 7
418:2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 7 = 441
Therefore, the value for common factors is 441.
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 = 18453524166/(1x441)
LCM = 18453524166/441
LCM = 41844726
Thus, we can understand that the LCM of 441,681,147,418 is 41844726.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 441, 681, 147, 418?
Answer: LCM of 441, 681, 147, 418 is 41844726.
2. How to calculate the LCM of 441, 681, 147, 418?
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 441, 681, 147, 418.
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}.