Find the LCM of 952, 349, 813, 349 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 952, 349, 813, 349. So, keep reading to learn more.
Given numbers are 952,349,813,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,349,813,349 is 270117624.
Find LCM of 952,349,813,349 with Prime Factorization
349 | 952, 349, 813, 349 |
952, 1, 813, 1 |
Multiply the prime numbers at the bottom and the left side.
349 x 952 x 1 x 813 x 1 = 270117624
Therefore, the lowest common multiple of 952,349,813,349 is 270117624.
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.
952 x 349 x 813 x 349 = 94271050776
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
349 : 1, 349
813 : 1, 3, 271, 813
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,349,813,349, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
349:349
813:3x 271
349:349
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 = 94271050776/(1x349)
LCM = 94271050776/349
LCM = 270117624
Thus, we can understand that the LCM of 952,349,813,349 is 270117624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 952, 349, 813, 349?
Answer: LCM of 952, 349, 813, 349 is 270117624.
2. How to calculate the LCM of 952, 349, 813, 349?
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 952, 349, 813, 349.
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}.