Find the LCM of 914, 867, 788, 739, 292 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 914, 867, 788, 739, 292. So, keep reading to learn more.
Given numbers are 914,867,788,739,292
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,867,788,739,292 is 16843363197684.
Find LCM of 914,867,788,739,292 with Prime Factorization
2 | 914, 867, 788, 739, 292 |
2 | 457, 867, 394, 739, 146 |
457, 867, 197, 739, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 457 x 867 x 197 x 739 x 73 = 16843363197684
Therefore, the lowest common multiple of 914,867,788,739,292 is 16843363197684.
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.
914 x 867 x 788 x 739 x 292 = 134746905581472
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.
914 : 1, 2, 457, 914
867 : 1, 3, 17, 51, 289, 867
788 : 1, 2, 4, 197, 394, 788
739 : 1, 739
292 : 1, 2, 4, 73, 146, 292
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,867,788,739,292, is 1.
Now, the common factors can be found like this.
914:2x 457
867:3x 17x 17
788:2x 2x 197
739:739
292:2x 2x 73
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 2 = 8
Therefore, the value for common factors is 8.
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 = 134746905581472/(1x8)
LCM = 134746905581472/8
LCM = 16843363197684
Thus, we can understand that the LCM of 914,867,788,739,292 is 16843363197684.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 867, 788, 739, 292?
Answer: LCM of 914, 867, 788, 739, 292 is 16843363197684.
2. How to calculate the LCM of 914, 867, 788, 739, 292?
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 914, 867, 788, 739, 292.
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}.