LCM of 343, 929, 663, 573, 367
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 929, 663, 573, 367 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 343, 929, 663, 573, 367. So, keep reading to learn more.
Given numbers are 343,929,663,573,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,929,663,573,367 is 14808899777217.
Find LCM of 343,929,663,573,367 with Prime Factorization
| 3 | 343, 929, 663, 573, 367 |
| 343, 929, 221, 191, 367 |
Multiply the prime numbers at the bottom and the left side.
3 x 343 x 929 x 221 x 191 x 367 = 14808899777217
Therefore, the lowest common multiple of 343,929,663,573,367 is 14808899777217.
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.
343 x 929 x 663 x 573 x 367 = 44426699331651
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.
343 : 1, 7, 49, 343
929 : 1, 929
663 : 1, 3, 13, 17, 39, 51, 221, 663
573 : 1, 3, 191, 573
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,929,663,573,367, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
929:929
663:3x 13x 17
573:3x 191
367:367
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 44426699331651/(1x3)
LCM = 44426699331651/3
LCM = 14808899777217
Thus, we can understand that the LCM of 343,929,663,573,367 is 14808899777217.
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FAQs on LCM of 343, 929, 663, 573, 367
1. What is the LCM of 343, 929, 663, 573, 367?
Answer: LCM of 343, 929, 663, 573, 367 is 14808899777217.
2. How to calculate the LCM of 343, 929, 663, 573, 367?
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 343, 929, 663, 573, 367.
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}.