LCM of 371, 148, 372, 113, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 371, 148, 372, 113, 744 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 371, 148, 372, 113, 744. So, keep reading to learn more.
Given numbers are 371,148,372,113,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 371,148,372,113,744 is 1154056344.
Find LCM of 371,148,372,113,744 with Prime Factorization
| 2 | 371, 148, 372, 113, 744 |
| 2 | 371, 74, 186, 113, 372 |
| 3 | 371, 37, 93, 113, 186 |
| 31 | 371, 37, 31, 113, 62 |
| 371, 37, 1, 113, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 371 x 37 x 1 x 113 x 2 = 1154056344
Therefore, the lowest common multiple of 371,148,372,113,744 is 1154056344.
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.
371 x 148 x 372 x 113 x 744 = 1717235839872
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.
371 : 1, 7, 53, 371
148 : 1, 2, 4, 37, 74, 148
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
113 : 1, 113
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,148,372,113,744, is 1.
Now, the common factors can be found like this.
371:7x 53
148:2x 2x 37
372:2x 2x 3x 31
113:113
744:2x 2x 2x 3x 31
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 2x 2x 3x 31 = 1488
Therefore, the value for common factors is 1488.
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 = 1717235839872/(1x1488)
LCM = 1717235839872/1488
LCM = 1154056344
Thus, we can understand that the LCM of 371,148,372,113,744 is 1154056344.
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FAQs on LCM of 371, 148, 372, 113, 744
1. What is the LCM of 371, 148, 372, 113, 744?
Answer: LCM of 371, 148, 372, 113, 744 is 1154056344.
2. How to calculate the LCM of 371, 148, 372, 113, 744?
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 371, 148, 372, 113, 744.
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}.