LCM of 769, 458, 715, 176, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 458, 715, 176, 427 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 769, 458, 715, 176, 427. So, keep reading to learn more.
Given numbers are 769,458,715,176,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,458,715,176,427 is 860232252880.
Find LCM of 769,458,715,176,427 with Prime Factorization
| 2 | 769, 458, 715, 176, 427 |
| 11 | 769, 229, 715, 88, 427 |
| 769, 229, 65, 8, 427 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 769 x 229 x 65 x 8 x 427 = 860232252880
Therefore, the lowest common multiple of 769,458,715,176,427 is 860232252880.
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.
769 x 458 x 715 x 176 x 427 = 18925109563360
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.
769 : 1, 769
458 : 1, 2, 229, 458
715 : 1, 5, 11, 13, 55, 65, 143, 715
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,458,715,176,427, is 1.
Now, the common factors can be found like this.
769:769
458:2x 229
715:5x 11x 13
176:2x 2x 2x 2x 11
427:7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 18925109563360/(1x22)
LCM = 18925109563360/22
LCM = 860232252880
Thus, we can understand that the LCM of 769,458,715,176,427 is 860232252880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 769, 458, 715, 176, 427
1. What is the LCM of 769, 458, 715, 176, 427?
Answer: LCM of 769, 458, 715, 176, 427 is 860232252880.
2. How to calculate the LCM of 769, 458, 715, 176, 427?
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 769, 458, 715, 176, 427.
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}.