Find the LCM of 844, 969, 527, 119 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 844, 969, 527, 119. So, keep reading to learn more.
Given numbers are 844,969,527,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,969,527,119 is 177470412.
Find LCM of 844,969,527,119 with Prime Factorization
17 | 844, 969, 527, 119 |
844, 57, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
17 x 844 x 57 x 31 x 7 = 177470412
Therefore, the lowest common multiple of 844,969,527,119 is 177470412.
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.
844 x 969 x 527 x 119 = 51288949068
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.
844 : 1, 2, 4, 211, 422, 844
969 : 1, 3, 17, 19, 51, 57, 323, 969
527 : 1, 17, 31, 527
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,969,527,119, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
969:3x 17x 19
527:17x 31
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 17 = 289
Therefore, the value for common factors is 289.
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 = 51288949068/(1x289)
LCM = 51288949068/289
LCM = 177470412
Thus, we can understand that the LCM of 844,969,527,119 is 177470412.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 844, 969, 527, 119?
Answer: LCM of 844, 969, 527, 119 is 177470412.
2. How to calculate the LCM of 844, 969, 527, 119?
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 844, 969, 527, 119.
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}.