LCM of 773, 957, 506, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 957, 506, 505 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 773, 957, 506, 505. So, keep reading to learn more.
Given numbers are 773,957,506,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,957,506,505 is 17184648030.
Find LCM of 773,957,506,505 with Prime Factorization
| 11 | 773, 957, 506, 505 |
| 773, 87, 46, 505 |
Multiply the prime numbers at the bottom and the left side.
11 x 773 x 87 x 46 x 505 = 17184648030
Therefore, the lowest common multiple of 773,957,506,505 is 17184648030.
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.
773 x 957 x 506 x 505 = 189031128330
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.
773 : 1, 773
957 : 1, 3, 11, 29, 33, 87, 319, 957
506 : 1, 2, 11, 22, 23, 46, 253, 506
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,957,506,505, is 1.
Now, the common factors can be found like this.
773:773
957:3x 11x 29
506:2x 11x 23
505:5x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 189031128330/(1x11)
LCM = 189031128330/11
LCM = 17184648030
Thus, we can understand that the LCM of 773,957,506,505 is 17184648030.
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FAQs on LCM of 773, 957, 506, 505
1. What is the LCM of 773, 957, 506, 505?
Answer: LCM of 773, 957, 506, 505 is 17184648030.
2. How to calculate the LCM of 773, 957, 506, 505?
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 773, 957, 506, 505.
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}.