Find the LCM of 577, 286, 299, 273 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 577, 286, 299, 273. So, keep reading to learn more.
Given numbers are 577,286,299,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,286,299,273 is 79705626.
Find LCM of 577,286,299,273 with Prime Factorization
13 | 577, 286, 299, 273 |
577, 22, 23, 21 |
Multiply the prime numbers at the bottom and the left side.
13 x 577 x 22 x 23 x 21 = 79705626
Therefore, the lowest common multiple of 577,286,299,273 is 79705626.
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.
577 x 286 x 299 x 273 = 13470250794
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.
577 : 1, 577
286 : 1, 2, 11, 13, 22, 26, 143, 286
299 : 1, 13, 23, 299
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,286,299,273, is 1.
Now, the common factors can be found like this.
577:577
286:2x 11x 13
299:13x 23
273:3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 13470250794/(1x169)
LCM = 13470250794/169
LCM = 79705626
Thus, we can understand that the LCM of 577,286,299,273 is 79705626.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 577, 286, 299, 273?
Answer: LCM of 577, 286, 299, 273 is 79705626.
2. How to calculate the LCM of 577, 286, 299, 273?
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 577, 286, 299, 273.
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}.