LCM of 357, 326, 674, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 326, 674, 913 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 357, 326, 674, 913. So, keep reading to learn more.
Given numbers are 357,326,674,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,326,674,913 is 35808530142.
Find LCM of 357,326,674,913 with Prime Factorization
| 2 | 357, 326, 674, 913 |
| 357, 163, 337, 913 |
Multiply the prime numbers at the bottom and the left side.
2 x 357 x 163 x 337 x 913 = 35808530142
Therefore, the lowest common multiple of 357,326,674,913 is 35808530142.
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.
357 x 326 x 674 x 913 = 71617060284
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
326 : 1, 2, 163, 326
674 : 1, 2, 337, 674
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,326,674,913, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
326:2x 163
674:2x 337
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 71617060284/(1x2)
LCM = 71617060284/2
LCM = 35808530142
Thus, we can understand that the LCM of 357,326,674,913 is 35808530142.
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FAQs on LCM of 357, 326, 674, 913
1. What is the LCM of 357, 326, 674, 913?
Answer: LCM of 357, 326, 674, 913 is 35808530142.
2. How to calculate the LCM of 357, 326, 674, 913?
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 357, 326, 674, 913.
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}.