Find the LCM of 721, 868, 892, 116 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 721, 868, 892, 116. So, keep reading to learn more.
Given numbers are 721,868,892,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,868,892,116 is 578175668.
Find LCM of 721,868,892,116 with Prime Factorization
2 | 721, 868, 892, 116 |
2 | 721, 434, 446, 58 |
7 | 721, 217, 223, 29 |
103, 31, 223, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 103 x 31 x 223 x 29 = 578175668
Therefore, the lowest common multiple of 721,868,892,116 is 578175668.
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.
721 x 868 x 892 x 116 = 64755674816
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.
721 : 1, 7, 103, 721
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
892 : 1, 2, 4, 223, 446, 892
116 : 1, 2, 4, 29, 58, 116
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,868,892,116, is 1.
Now, the common factors can be found like this.
721:7x 103
868:2x 2x 7x 31
892:2x 2x 223
116:2x 2x 29
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 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 64755674816/(1x112)
LCM = 64755674816/112
LCM = 578175668
Thus, we can understand that the LCM of 721,868,892,116 is 578175668.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 868, 892, 116?
Answer: LCM of 721, 868, 892, 116 is 578175668.
2. How to calculate the LCM of 721, 868, 892, 116?
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 721, 868, 892, 116.
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}.