Find the LCM of 377, 141, 121, 949 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 377, 141, 121, 949. So, keep reading to learn more.
Given numbers are 377,141,121,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,141,121,949 is 469535781.
Find LCM of 377,141,121,949 with Prime Factorization
13 | 377, 141, 121, 949 |
29, 141, 121, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 29 x 141 x 121 x 73 = 469535781
Therefore, the lowest common multiple of 377,141,121,949 is 469535781.
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.
377 x 141 x 121 x 949 = 6103965153
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.
377 : 1, 13, 29, 377
141 : 1, 3, 47, 141
121 : 1, 11, 121
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,141,121,949, is 1.
Now, the common factors can be found like this.
377:13x 29
141:3x 47
121:11x 11
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 6103965153/(1x13)
LCM = 6103965153/13
LCM = 469535781
Thus, we can understand that the LCM of 377,141,121,949 is 469535781.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 141, 121, 949?
Answer: LCM of 377, 141, 121, 949 is 469535781.
2. How to calculate the LCM of 377, 141, 121, 949?
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 377, 141, 121, 949.
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}.