Find the LCM of 376, 526, 466, 342 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 376, 526, 466, 342. So, keep reading to learn more.
Given numbers are 376,526,466,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,526,466,342 is 3939994584.
Find LCM of 376,526,466,342 with Prime Factorization
2 | 376, 526, 466, 342 |
188, 263, 233, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 188 x 263 x 233 x 171 = 3939994584
Therefore, the lowest common multiple of 376,526,466,342 is 3939994584.
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.
376 x 526 x 466 x 342 = 31519956672
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
526 : 1, 2, 263, 526
466 : 1, 2, 233, 466
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,526,466,342, is 2.
Now, the common factors can be found like this.
376:2x 2x 2x 47
526:2x 263
466:2x 233
342:2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 31519956672/(2x4)
LCM = 31519956672/8
LCM = 3939994584
Thus, we can understand that the LCM of 376,526,466,342 is 3939994584.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 376, 526, 466, 342?
Answer: LCM of 376, 526, 466, 342 is 3939994584.
2. How to calculate the LCM of 376, 526, 466, 342?
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 376, 526, 466, 342.
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}.