Find the LCM of 668, 253, 429, 132, 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 668, 253, 429, 132, 614. So, keep reading to learn more.
Given numbers are 668,253,429,132,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,253,429,132,614 is 2023484892.
Find LCM of 668,253,429,132,614 with Prime Factorization
2 | 668, 253, 429, 132, 614 |
2 | 334, 253, 429, 66, 307 |
3 | 167, 253, 429, 33, 307 |
11 | 167, 253, 143, 11, 307 |
167, 23, 13, 1, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 167 x 23 x 13 x 1 x 307 = 2023484892
Therefore, the lowest common multiple of 668,253,429,132,614 is 2023484892.
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.
668 x 253 x 429 x 132 x 614 = 5876200126368
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.
668 : 1, 2, 4, 167, 334, 668
253 : 1, 11, 23, 253
429 : 1, 3, 11, 13, 33, 39, 143, 429
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,253,429,132,614, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
253:11x 23
429:3x 11x 13
132:2x 2x 3x 11
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.
2x 2x 2x 3x 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 5876200126368/(1x2904)
LCM = 5876200126368/2904
LCM = 2023484892
Thus, we can understand that the LCM of 668,253,429,132,614 is 2023484892.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 668, 253, 429, 132, 614?
Answer: LCM of 668, 253, 429, 132, 614 is 2023484892.
2. How to calculate the LCM of 668, 253, 429, 132, 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 668, 253, 429, 132, 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}.