Find the LCM of 757, 757, 561, 311, 974 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, 757, 561, 311, 974. So, keep reading to learn more.
Given numbers are 757,757,561,311,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,757,561,311,974 is 128640608778.
Find LCM of 757,757,561,311,974 with Prime Factorization
757 | 757, 757, 561, 311, 974 |
1, 1, 561, 311, 974 |
Multiply the prime numbers at the bottom and the left side.
757 x 1 x 1 x 561 x 311 x 974 = 128640608778
Therefore, the lowest common multiple of 757,757,561,311,974 is 128640608778.
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 757 x 561 x 311 x 974 = 97380940844946
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
757 : 1, 757
561 : 1, 3, 11, 17, 33, 51, 187, 561
311 : 1, 311
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,757,561,311,974, is 1.
Now, the common factors can be found like this.
757:757
757:757
561:3x 11x 17
311:311
974:2x 487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
757 = 757
Therefore, the value for common factors is 757.
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 = 97380940844946/(1x757)
LCM = 97380940844946/757
LCM = 128640608778
Thus, we can understand that the LCM of 757,757,561,311,974 is 128640608778.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 757, 757, 561, 311, 974?
Answer: LCM of 757, 757, 561, 311, 974 is 128640608778.
2. How to calculate the LCM of 757, 757, 561, 311, 974?
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, 757, 561, 311, 974.
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}.