Find the LCM of 344, 492, 853, 614, 945 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 344, 492, 853, 614, 945. So, keep reading to learn more.
Given numbers are 344,492,853,614,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,492,853,614,945 is 3490290011880.
Find LCM of 344,492,853,614,945 with Prime Factorization
2 | 344, 492, 853, 614, 945 |
2 | 172, 246, 853, 307, 945 |
3 | 86, 123, 853, 307, 945 |
86, 41, 853, 307, 315 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 86 x 41 x 853 x 307 x 315 = 3490290011880
Therefore, the lowest common multiple of 344,492,853,614,945 is 3490290011880.
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.
344 x 492 x 853 x 614 x 945 = 83766960285120
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
853 : 1, 853
614 : 1, 2, 307, 614
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,492,853,614,945, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
492:2x 2x 3x 41
853:853
614:2x 307
945:3x 3x 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 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 83766960285120/(1x24)
LCM = 83766960285120/24
LCM = 3490290011880
Thus, we can understand that the LCM of 344,492,853,614,945 is 3490290011880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 344, 492, 853, 614, 945?
Answer: LCM of 344, 492, 853, 614, 945 is 3490290011880.
2. How to calculate the LCM of 344, 492, 853, 614, 945?
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 344, 492, 853, 614, 945.
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}.