Find the LCM of 373, 378, 502, 973, 140 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 373, 378, 502, 973, 140. So, keep reading to learn more.
Given numbers are 373,378,502,973,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,378,502,973,140 is 49191396660.
Find LCM of 373,378,502,973,140 with Prime Factorization
2 | 373, 378, 502, 973, 140 |
7 | 373, 189, 251, 973, 70 |
373, 27, 251, 139, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 373 x 27 x 251 x 139 x 10 = 49191396660
Therefore, the lowest common multiple of 373,378,502,973,140 is 49191396660.
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.
373 x 378 x 502 x 973 x 140 = 9641513745360
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.
373 : 1, 373
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
502 : 1, 2, 251, 502
973 : 1, 7, 139, 973
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,378,502,973,140, is 1.
Now, the common factors can be found like this.
373:373
378:2x 3x 3x 3x 7
502:2x 251
973:7x 139
140:2x 2x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 9641513745360/(1x196)
LCM = 9641513745360/196
LCM = 49191396660
Thus, we can understand that the LCM of 373,378,502,973,140 is 49191396660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 373, 378, 502, 973, 140?
Answer: LCM of 373, 378, 502, 973, 140 is 49191396660.
2. How to calculate the LCM of 373, 378, 502, 973, 140?
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 373, 378, 502, 973, 140.
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}.