Find the LCM of 951, 148, 769, 842, 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 951, 148, 769, 842, 257. So, keep reading to learn more.
Given numbers are 951,148,769,842,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,148,769,842,257 is 11710725232764.
Find LCM of 951,148,769,842,257 with Prime Factorization
2 | 951, 148, 769, 842, 257 |
951, 74, 769, 421, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 951 x 74 x 769 x 421 x 257 = 11710725232764
Therefore, the lowest common multiple of 951,148,769,842,257 is 11710725232764.
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.
951 x 148 x 769 x 842 x 257 = 23421450465528
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.
951 : 1, 3, 317, 951
148 : 1, 2, 4, 37, 74, 148
769 : 1, 769
842 : 1, 2, 421, 842
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,148,769,842,257, is 1.
Now, the common factors can be found like this.
951:3x 317
148:2x 2x 37
769:769
842:2x 421
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.
2 = 2
Therefore, the value for common factors is 2.
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 = 23421450465528/(1x2)
LCM = 23421450465528/2
LCM = 11710725232764
Thus, we can understand that the LCM of 951,148,769,842,257 is 11710725232764.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 951, 148, 769, 842, 257?
Answer: LCM of 951, 148, 769, 842, 257 is 11710725232764.
2. How to calculate the LCM of 951, 148, 769, 842, 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 951, 148, 769, 842, 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}.