LCM of 118, 343, 740, 908
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 343, 740, 908 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 118, 343, 740, 908. So, keep reading to learn more.
Given numbers are 118,343,740,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,343,740,908 is 3399411260.
Find LCM of 118,343,740,908 with Prime Factorization
| 2 | 118, 343, 740, 908 |
| 2 | 59, 343, 370, 454 |
| 59, 343, 185, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 59 x 343 x 185 x 227 = 3399411260
Therefore, the lowest common multiple of 118,343,740,908 is 3399411260.
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.
118 x 343 x 740 x 908 = 27195290080
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.
118 : 1, 2, 59, 118
343 : 1, 7, 49, 343
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,343,740,908, is 1.
Now, the common factors can be found like this.
118:2x 59
343:7x 7x 7
740:2x 2x 5x 37
908:2x 2x 227
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 2 = 8
Therefore, the value for common factors is 8.
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 = 27195290080/(1x8)
LCM = 27195290080/8
LCM = 3399411260
Thus, we can understand that the LCM of 118,343,740,908 is 3399411260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 118, 343, 740, 908
1. What is the LCM of 118, 343, 740, 908?
Answer: LCM of 118, 343, 740, 908 is 3399411260.
2. How to calculate the LCM of 118, 343, 740, 908?
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 118, 343, 740, 908.
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}.