LCM of 757, 355, 923, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 757, 355, 923, 180 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 757, 355, 923, 180. So, keep reading to learn more.
Given numbers are 757,355,923,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,355,923,180 is 125767980.
Find LCM of 757,355,923,180 with Prime Factorization
| 5 | 757, 355, 923, 180 |
| 71 | 757, 71, 923, 36 |
| 757, 1, 13, 36 |
Multiply the prime numbers at the bottom and the left side.
5 x 71 x 757 x 1 x 13 x 36 = 125767980
Therefore, the lowest common multiple of 757,355,923,180 is 125767980.
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.
757 x 355 x 923 x 180 = 44647632900
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.
757 : 1, 757
355 : 1, 5, 71, 355
923 : 1, 13, 71, 923
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,355,923,180, is 1.
Now, the common factors can be found like this.
757:757
355:5x 71
923:13x 71
180:2x 2x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 71 = 355
Therefore, the value for common factors is 355.
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 = 44647632900/(1x355)
LCM = 44647632900/355
LCM = 125767980
Thus, we can understand that the LCM of 757,355,923,180 is 125767980.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 757, 355, 923, 180
1. What is the LCM of 757, 355, 923, 180?
Answer: LCM of 757, 355, 923, 180 is 125767980.
2. How to calculate the LCM of 757, 355, 923, 180?
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 757, 355, 923, 180.
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}.