Find the LCM of 141, 425, 771, 257 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 141, 425, 771, 257. So, keep reading to learn more.
Given numbers are 141,425,771,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 141,425,771,257 is 15400725.
Find LCM of 141,425,771,257 with Prime Factorization
3 | 141, 425, 771, 257 |
257 | 47, 425, 257, 257 |
47, 425, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 257 x 47 x 425 x 1 x 1 = 15400725
Therefore, the lowest common multiple of 141,425,771,257 is 15400725.
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.
141 x 425 x 771 x 257 = 11873958975
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.
141 : 1, 3, 47, 141
425 : 1, 5, 17, 25, 85, 425
771 : 1, 3, 257, 771
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,425,771,257, is 1.
Now, the common factors can be found like this.
141:3x 47
425:5x 5x 17
771:3x 257
257:257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 257 = 771
Therefore, the value for common factors is 771.
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 = 11873958975/(1x771)
LCM = 11873958975/771
LCM = 15400725
Thus, we can understand that the LCM of 141,425,771,257 is 15400725.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 141, 425, 771, 257?
Answer: LCM of 141, 425, 771, 257 is 15400725.
2. How to calculate the LCM of 141, 425, 771, 257?
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 141, 425, 771, 257.
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}.