Find the LCM of 737, 152, 823, 171 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 737, 152, 823, 171. So, keep reading to learn more.
Given numbers are 737,152,823,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,152,823,171 is 829761768.
Find LCM of 737,152,823,171 with Prime Factorization
19 | 737, 152, 823, 171 |
737, 8, 823, 9 |
Multiply the prime numbers at the bottom and the left side.
19 x 737 x 8 x 823 x 9 = 829761768
Therefore, the lowest common multiple of 737,152,823,171 is 829761768.
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.
737 x 152 x 823 x 171 = 15765473592
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.
737 : 1, 11, 67, 737
152 : 1, 2, 4, 8, 19, 38, 76, 152
823 : 1, 823
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,152,823,171, is 1.
Now, the common factors can be found like this.
737:11x 67
152:2x 2x 2x 19
823:823
171:3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 15765473592/(1x19)
LCM = 15765473592/19
LCM = 829761768
Thus, we can understand that the LCM of 737,152,823,171 is 829761768.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 737, 152, 823, 171?
Answer: LCM of 737, 152, 823, 171 is 829761768.
2. How to calculate the LCM of 737, 152, 823, 171?
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 737, 152, 823, 171.
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}.