Find the LCM of 967, 645, 385, 140 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 967, 645, 385, 140. So, keep reading to learn more.
Given numbers are 967,645,385,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,645,385,140 is 192104220.
Find LCM of 967,645,385,140 with Prime Factorization
5 | 967, 645, 385, 140 |
7 | 967, 129, 77, 28 |
967, 129, 11, 4 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 967 x 129 x 11 x 4 = 192104220
Therefore, the lowest common multiple of 967,645,385,140 is 192104220.
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.
967 x 645 x 385 x 140 = 33618238500
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.
967 : 1, 967
645 : 1, 3, 5, 15, 43, 129, 215, 645
385 : 1, 5, 7, 11, 35, 55, 77, 385
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,645,385,140, is 1.
Now, the common factors can be found like this.
967:967
645:3x 5x 43
385:5x 7x 11
140:2x 2x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7 = 175
Therefore, the value for common factors is 175.
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 = 33618238500/(1x175)
LCM = 33618238500/175
LCM = 192104220
Thus, we can understand that the LCM of 967,645,385,140 is 192104220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 967, 645, 385, 140?
Answer: LCM of 967, 645, 385, 140 is 192104220.
2. How to calculate the LCM of 967, 645, 385, 140?
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 967, 645, 385, 140.
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}.