LCM of 538, 735, 223, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 735, 223, 756 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 538, 735, 223, 756. So, keep reading to learn more.
Given numbers are 538,735,223,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,735,223,756 is 1587256020.
Find LCM of 538,735,223,756 with Prime Factorization
| 2 | 538, 735, 223, 756 |
| 3 | 269, 735, 223, 378 |
| 7 | 269, 245, 223, 126 |
| 269, 35, 223, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 269 x 35 x 223 x 18 = 1587256020
Therefore, the lowest common multiple of 538,735,223,756 is 1587256020.
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.
538 x 735 x 223 x 756 = 66664752840
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.
538 : 1, 2, 269, 538
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
223 : 1, 223
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,735,223,756, is 1.
Now, the common factors can be found like this.
538:2x 269
735:3x 5x 7x 7
223:223
756:2x 2x 3x 3x 3x 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 7 = 42
Therefore, the value for common factors is 42.
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 = 66664752840/(1x42)
LCM = 66664752840/42
LCM = 1587256020
Thus, we can understand that the LCM of 538,735,223,756 is 1587256020.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 538, 735, 223, 756
1. What is the LCM of 538, 735, 223, 756?
Answer: LCM of 538, 735, 223, 756 is 1587256020.
2. How to calculate the LCM of 538, 735, 223, 756?
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 538, 735, 223, 756.
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}.