Find the LCM of 360, 337, 143, 373, 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 360, 337, 143, 373, 949. So, keep reading to learn more.
Given numbers are 360,337,143,373,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 360,337,143,373,949 is 472389386040.
Find LCM of 360,337,143,373,949 with Prime Factorization
13 | 360, 337, 143, 373, 949 |
360, 337, 11, 373, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 360 x 337 x 11 x 373 x 73 = 472389386040
Therefore, the lowest common multiple of 360,337,143,373,949 is 472389386040.
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.
360 x 337 x 143 x 373 x 949 = 6141062018520
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.
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
337 : 1, 337
143 : 1, 11, 13, 143
373 : 1, 373
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,337,143,373,949, is 1.
Now, the common factors can be found like this.
360:2x 2x 2x 3x 3x 5
337:337
143:11x 13
373:373
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 = 6141062018520/(1x13)
LCM = 6141062018520/13
LCM = 472389386040
Thus, we can understand that the LCM of 360,337,143,373,949 is 472389386040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 360, 337, 143, 373, 949?
Answer: LCM of 360, 337, 143, 373, 949 is 472389386040.
2. How to calculate the LCM of 360, 337, 143, 373, 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 360, 337, 143, 373, 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}.