Find the LCM of 119, 374, 277, 277 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 119, 374, 277, 277. So, keep reading to learn more.
Given numbers are 119,374,277,277
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,374,277,277 is 725186.
Find LCM of 119,374,277,277 with Prime Factorization
17 | 119, 374, 277, 277 |
277 | 7, 22, 277, 277 |
7, 22, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 277 x 7 x 22 x 1 x 1 = 725186
Therefore, the lowest common multiple of 119,374,277,277 is 725186.
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.
119 x 374 x 277 x 277 = 3414900874
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.
119 : 1, 7, 17, 119
374 : 1, 2, 11, 17, 22, 34, 187, 374
277 : 1, 277
277 : 1, 277
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,374,277,277, is 1.
Now, the common factors can be found like this.
119:7x 17
374:2x 11x 17
277:277
277:277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 277 = 4709
Therefore, the value for common factors is 4709.
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 = 3414900874/(1x4709)
LCM = 3414900874/4709
LCM = 725186
Thus, we can understand that the LCM of 119,374,277,277 is 725186.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 119, 374, 277, 277?
Answer: LCM of 119, 374, 277, 277 is 725186.
2. How to calculate the LCM of 119, 374, 277, 277?
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 119, 374, 277, 277.
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}.