Find the LCM of 659, 844, 662, 753, 458 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 659, 844, 662, 753, 458. So, keep reading to learn more.
Given numbers are 659,844,662,753,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,844,662,753,458 is 31745802754812.
Find LCM of 659,844,662,753,458 with Prime Factorization
2 | 659, 844, 662, 753, 458 |
659, 422, 331, 753, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 659 x 422 x 331 x 753 x 229 = 31745802754812
Therefore, the lowest common multiple of 659,844,662,753,458 is 31745802754812.
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.
659 x 844 x 662 x 753 x 458 = 126983211019248
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.
659 : 1, 659
844 : 1, 2, 4, 211, 422, 844
662 : 1, 2, 331, 662
753 : 1, 3, 251, 753
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,844,662,753,458, is 1.
Now, the common factors can be found like this.
659:659
844:2x 2x 211
662:2x 331
753:3x 251
458:2x 229
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 = 126983211019248/(1x4)
LCM = 126983211019248/4
LCM = 31745802754812
Thus, we can understand that the LCM of 659,844,662,753,458 is 31745802754812.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 659, 844, 662, 753, 458?
Answer: LCM of 659, 844, 662, 753, 458 is 31745802754812.
2. How to calculate the LCM of 659, 844, 662, 753, 458?
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 659, 844, 662, 753, 458.
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}.