Find the LCM of 349, 349, 335, 802, 217 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 349, 349, 335, 802, 217. So, keep reading to learn more.
Given numbers are 349,349,335,802,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 349,349,335,802,217 is 20347185110.
Find LCM of 349,349,335,802,217 with Prime Factorization
349 | 349, 349, 335, 802, 217 |
1, 1, 335, 802, 217 |
Multiply the prime numbers at the bottom and the left side.
349 x 1 x 1 x 335 x 802 x 217 = 20347185110
Therefore, the lowest common multiple of 349,349,335,802,217 is 20347185110.
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.
349 x 349 x 335 x 802 x 217 = 7101167603390
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.
349 : 1, 349
349 : 1, 349
335 : 1, 5, 67, 335
802 : 1, 2, 401, 802
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,349,335,802,217, is 1.
Now, the common factors can be found like this.
349:349
349:349
335:5x 67
802:2x 401
217:7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
349 = 349
Therefore, the value for common factors is 349.
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 = 7101167603390/(1x349)
LCM = 7101167603390/349
LCM = 20347185110
Thus, we can understand that the LCM of 349,349,335,802,217 is 20347185110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 349, 349, 335, 802, 217?
Answer: LCM of 349, 349, 335, 802, 217 is 20347185110.
2. How to calculate the LCM of 349, 349, 335, 802, 217?
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 349, 349, 335, 802, 217.
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}.