LCM of 757, 923, 548, 764, 757
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 757, 923, 548, 764, 757 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, 923, 548, 764, 757. So, keep reading to learn more.
Given numbers are 757,923,548,764,757
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,923,548,764,757 is 73132682948.
Find LCM of 757,923,548,764,757 with Prime Factorization
| 2 | 757, 923, 548, 764, 757 |
| 2 | 757, 923, 274, 382, 757 |
| 757 | 757, 923, 137, 191, 757 |
| 1, 923, 137, 191, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 757 x 1 x 923 x 137 x 191 x 1 = 73132682948
Therefore, the lowest common multiple of 757,923,548,764,757 is 73132682948.
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 923 x 548 x 764 x 757 = 221445763966544
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
923 : 1, 13, 71, 923
548 : 1, 2, 4, 137, 274, 548
764 : 1, 2, 4, 191, 382, 764
757 : 1, 757
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,923,548,764,757, is 1.
Now, the common factors can be found like this.
757:757
923:13x 71
548:2x 2x 137
764:2x 2x 191
757:757
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 757 = 3028
Therefore, the value for common factors is 3028.
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 = 221445763966544/(1x3028)
LCM = 221445763966544/3028
LCM = 73132682948
Thus, we can understand that the LCM of 757,923,548,764,757 is 73132682948.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 757, 923, 548, 764, 757
1. What is the LCM of 757, 923, 548, 764, 757?
Answer: LCM of 757, 923, 548, 764, 757 is 73132682948.
2. How to calculate the LCM of 757, 923, 548, 764, 757?
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, 923, 548, 764, 757.
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}.