Find the LCM of 377, 517, 429, 614 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 377, 517, 429, 614. So, keep reading to learn more.
Given numbers are 377,517,429,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,517,429,614 is 359022378.
Find LCM of 377,517,429,614 with Prime Factorization
11 | 377, 517, 429, 614 |
13 | 377, 47, 39, 614 |
29, 47, 3, 614 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 29 x 47 x 3 x 614 = 359022378
Therefore, the lowest common multiple of 377,517,429,614 is 359022378.
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.
377 x 517 x 429 x 614 = 51340200054
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.
377 : 1, 13, 29, 377
517 : 1, 11, 47, 517
429 : 1, 3, 11, 13, 33, 39, 143, 429
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,517,429,614, is 1.
Now, the common factors can be found like this.
377:13x 29
517:11x 47
429:3x 11x 13
614:2x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 51340200054/(1x143)
LCM = 51340200054/143
LCM = 359022378
Thus, we can understand that the LCM of 377,517,429,614 is 359022378.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 517, 429, 614?
Answer: LCM of 377, 517, 429, 614 is 359022378.
2. How to calculate the LCM of 377, 517, 429, 614?
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 377, 517, 429, 614.
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}.