Find the LCM of 322, 945, 871, 858, 737 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 322, 945, 871, 858, 737. So, keep reading to learn more.
Given numbers are 322,945,871,858,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,945,871,858,737 is 416486070.
Find LCM of 322,945,871,858,737 with Prime Factorization
2 | 322, 945, 871, 858, 737 |
3 | 161, 945, 871, 429, 737 |
7 | 161, 315, 871, 143, 737 |
11 | 23, 45, 871, 143, 737 |
13 | 23, 45, 871, 13, 67 |
67 | 23, 45, 67, 1, 67 |
23, 45, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 67 x 23 x 45 x 1 x 1 x 1 = 416486070
Therefore, the lowest common multiple of 322,945,871,858,737 is 416486070.
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.
322 x 945 x 871 x 858 x 737 = 167594827540140
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
871 : 1, 13, 67, 871
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,945,871,858,737, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
945:3x 3x 3x 5x 7
871:13x 67
858:2x 3x 11x 13
737:11x 67
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 7x 11x 13x 67 = 402402
Therefore, the value for common factors is 402402.
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 = 167594827540140/(1x402402)
LCM = 167594827540140/402402
LCM = 416486070
Thus, we can understand that the LCM of 322,945,871,858,737 is 416486070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 322, 945, 871, 858, 737?
Answer: LCM of 322, 945, 871, 858, 737 is 416486070.
2. How to calculate the LCM of 322, 945, 871, 858, 737?
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 322, 945, 871, 858, 737.
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}.