Find the LCM of 669, 797, 915, 657, 876 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 669, 797, 915, 657, 876. So, keep reading to learn more.
Given numbers are 669,797,915,657,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,797,915,657,876 is 142458505740.
Find LCM of 669,797,915,657,876 with Prime Factorization
3 | 669, 797, 915, 657, 876 |
73 | 223, 797, 305, 219, 292 |
223, 797, 305, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 73 x 223 x 797 x 305 x 3 x 4 = 142458505740
Therefore, the lowest common multiple of 669,797,915,657,876 is 142458505740.
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.
669 x 797 x 915 x 657 x 876 = 280785714813540
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.
669 : 1, 3, 223, 669
797 : 1, 797
915 : 1, 3, 5, 15, 61, 183, 305, 915
657 : 1, 3, 9, 73, 219, 657
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,797,915,657,876, is 1.
Now, the common factors can be found like this.
669:3x 223
797:797
915:3x 5x 61
657:3x 3x 73
876:2x 2x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 73 = 1971
Therefore, the value for common factors is 1971.
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 = 280785714813540/(1x1971)
LCM = 280785714813540/1971
LCM = 142458505740
Thus, we can understand that the LCM of 669,797,915,657,876 is 142458505740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 669, 797, 915, 657, 876?
Answer: LCM of 669, 797, 915, 657, 876 is 142458505740.
2. How to calculate the LCM of 669, 797, 915, 657, 876?
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 669, 797, 915, 657, 876.
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}.