LCM of 774, 537, 774, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 537, 774, 523 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 774, 537, 774, 523. So, keep reading to learn more.
Given numbers are 774,537,774,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,537,774,523 is 72459558.
Find LCM of 774,537,774,523 with Prime Factorization
| 2 | 774, 537, 774, 523 |
| 3 | 387, 537, 387, 523 |
| 3 | 129, 179, 129, 523 |
| 43 | 43, 179, 43, 523 |
| 1, 179, 1, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 43 x 1 x 179 x 1 x 523 = 72459558
Therefore, the lowest common multiple of 774,537,774,523 is 72459558.
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.
774 x 537 x 774 x 523 = 168251093676
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
537 : 1, 3, 179, 537
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,537,774,523, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
537:3x 179
774:2x 3x 3x 43
523:523
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 43 = 2322
Therefore, the value for common factors is 2322.
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 = 168251093676/(1x2322)
LCM = 168251093676/2322
LCM = 72459558
Thus, we can understand that the LCM of 774,537,774,523 is 72459558.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 774, 537, 774, 523
1. What is the LCM of 774, 537, 774, 523?
Answer: LCM of 774, 537, 774, 523 is 72459558.
2. How to calculate the LCM of 774, 537, 774, 523?
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 774, 537, 774, 523.
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}.