Find the LCM of 343, 482, 785, 964 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, 482, 785, 964. So, keep reading to learn more.
Given numbers are 343,482,785,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,482,785,964 is 259561820.
Find LCM of 343,482,785,964 with Prime Factorization
2 | 343, 482, 785, 964 |
241 | 343, 241, 785, 482 |
343, 1, 785, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 241 x 343 x 1 x 785 x 2 = 259561820
Therefore, the lowest common multiple of 343,482,785,964 is 259561820.
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 482 x 785 x 964 = 125108797240
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
482 : 1, 2, 241, 482
785 : 1, 5, 157, 785
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,482,785,964, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
482:2x 241
785:5x 157
964:2x 2x 241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 241 = 482
Therefore, the value for common factors is 482.
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 = 125108797240/(1x482)
LCM = 125108797240/482
LCM = 259561820
Thus, we can understand that the LCM of 343,482,785,964 is 259561820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 482, 785, 964?
Answer: LCM of 343, 482, 785, 964 is 259561820.
2. How to calculate the LCM of 343, 482, 785, 964?
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, 482, 785, 964.
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}.