LCM of 681, 674, 197, 354, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 674, 197, 354, 438 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 681, 674, 197, 354, 438. So, keep reading to learn more.
Given numbers are 681,674,197,354,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,674,197,354,438 is 389446770126.
Find LCM of 681,674,197,354,438 with Prime Factorization
| 2 | 681, 674, 197, 354, 438 |
| 3 | 681, 337, 197, 177, 219 |
| 227, 337, 197, 59, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 337 x 197 x 59 x 73 = 389446770126
Therefore, the lowest common multiple of 681,674,197,354,438 is 389446770126.
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.
681 x 674 x 197 x 354 x 438 = 14020083724536
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.
681 : 1, 3, 227, 681
674 : 1, 2, 337, 674
197 : 1, 197
354 : 1, 2, 3, 6, 59, 118, 177, 354
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,674,197,354,438, is 1.
Now, the common factors can be found like this.
681:3x 227
674:2x 337
197:197
354:2x 3x 59
438:2x 3x 73
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 14020083724536/(1x36)
LCM = 14020083724536/36
LCM = 389446770126
Thus, we can understand that the LCM of 681,674,197,354,438 is 389446770126.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 681, 674, 197, 354, 438
1. What is the LCM of 681, 674, 197, 354, 438?
Answer: LCM of 681, 674, 197, 354, 438 is 389446770126.
2. How to calculate the LCM of 681, 674, 197, 354, 438?
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 681, 674, 197, 354, 438.
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}.