Find the LCM of 341, 959, 274, 829 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 341, 959, 274, 829. So, keep reading to learn more.
Given numbers are 341,959,274,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,959,274,829 is 542197502.
Find LCM of 341,959,274,829 with Prime Factorization
137 | 341, 959, 274, 829 |
341, 7, 2, 829 |
Multiply the prime numbers at the bottom and the left side.
137 x 341 x 7 x 2 x 829 = 542197502
Therefore, the lowest common multiple of 341,959,274,829 is 542197502.
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.
341 x 959 x 274 x 829 = 74281057774
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.
341 : 1, 11, 31, 341
959 : 1, 7, 137, 959
274 : 1, 2, 137, 274
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,959,274,829, is 1.
Now, the common factors can be found like this.
341:11x 31
959:7x 137
274:2x 137
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
137 = 137
Therefore, the value for common factors is 137.
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 = 74281057774/(1x137)
LCM = 74281057774/137
LCM = 542197502
Thus, we can understand that the LCM of 341,959,274,829 is 542197502.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 341, 959, 274, 829?
Answer: LCM of 341, 959, 274, 829 is 542197502.
2. How to calculate the LCM of 341, 959, 274, 829?
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 341, 959, 274, 829.
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}.