Find the LCM of 379, 835, 334, 279 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 379, 835, 334, 279. So, keep reading to learn more.
Given numbers are 379,835,334,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,835,334,279 is 176587470.
Find LCM of 379,835,334,279 with Prime Factorization
167 | 379, 835, 334, 279 |
379, 5, 2, 279 |
Multiply the prime numbers at the bottom and the left side.
167 x 379 x 5 x 2 x 279 = 176587470
Therefore, the lowest common multiple of 379,835,334,279 is 176587470.
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.
379 x 835 x 334 x 279 = 29490107490
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.
379 : 1, 379
835 : 1, 5, 167, 835
334 : 1, 2, 167, 334
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,835,334,279, is 1.
Now, the common factors can be found like this.
379:379
835:5x 167
334:2x 167
279:3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
167 = 167
Therefore, the value for common factors is 167.
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 = 29490107490/(1x167)
LCM = 29490107490/167
LCM = 176587470
Thus, we can understand that the LCM of 379,835,334,279 is 176587470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 379, 835, 334, 279?
Answer: LCM of 379, 835, 334, 279 is 176587470.
2. How to calculate the LCM of 379, 835, 334, 279?
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 379, 835, 334, 279.
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}.