Find the LCM of 891, 350, 733, 420, 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 891, 350, 733, 420, 945. So, keep reading to learn more.
Given numbers are 891,350,733,420,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,350,733,420,945 is 457172100.
Find LCM of 891,350,733,420,945 with Prime Factorization
2 | 891, 350, 733, 420, 945 |
3 | 891, 175, 733, 210, 945 |
3 | 297, 175, 733, 70, 315 |
3 | 99, 175, 733, 70, 105 |
5 | 33, 175, 733, 70, 35 |
7 | 33, 7, 733, 14, 35 |
33, 1, 733, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 7 x 33 x 1 x 733 x 2 x 5 = 457172100
Therefore, the lowest common multiple of 891,350,733,420,945 is 457172100.
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.
891 x 350 x 733 x 420 x 945 = 90725803245000
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
733 : 1, 733
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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 891,350,733,420,945, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
350:2x 5x 5x 7
733:733
420:2x 2x 3x 5x 7
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 3x 3x 3x 3x 5x 5x 7x 7 = 198450
Therefore, the value for common factors is 198450.
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 = 90725803245000/(1x198450)
LCM = 90725803245000/198450
LCM = 457172100
Thus, we can understand that the LCM of 891,350,733,420,945 is 457172100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 891, 350, 733, 420, 945?
Answer: LCM of 891, 350, 733, 420, 945 is 457172100.
2. How to calculate the LCM of 891, 350, 733, 420, 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 891, 350, 733, 420, 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}.