Find the LCM of 723, 965, 142, 878, 399 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 723, 965, 142, 878, 399. So, keep reading to learn more.
Given numbers are 723,965,142,878,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,965,142,878,399 is 5784557151030.
Find LCM of 723,965,142,878,399 with Prime Factorization
2 | 723, 965, 142, 878, 399 |
3 | 723, 965, 71, 439, 399 |
241, 965, 71, 439, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 241 x 965 x 71 x 439 x 133 = 5784557151030
Therefore, the lowest common multiple of 723,965,142,878,399 is 5784557151030.
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.
723 x 965 x 142 x 878 x 399 = 34707342906180
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.
723 : 1, 3, 241, 723
965 : 1, 5, 193, 965
142 : 1, 2, 71, 142
878 : 1, 2, 439, 878
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,965,142,878,399, is 1.
Now, the common factors can be found like this.
723:3x 241
965:5x 193
142:2x 71
878:2x 439
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 34707342906180/(1x6)
LCM = 34707342906180/6
LCM = 5784557151030
Thus, we can understand that the LCM of 723,965,142,878,399 is 5784557151030.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 723, 965, 142, 878, 399?
Answer: LCM of 723, 965, 142, 878, 399 is 5784557151030.
2. How to calculate the LCM of 723, 965, 142, 878, 399?
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 723, 965, 142, 878, 399.
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}.