Find the LCM of 734, 868, 852, 715, 677 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 734, 868, 852, 715, 677. So, keep reading to learn more.
Given numbers are 734,868,852,715,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 734,868,852,715,677 is 32844307035540.
Find LCM of 734,868,852,715,677 with Prime Factorization
2 | 734, 868, 852, 715, 677 |
2 | 367, 434, 426, 715, 677 |
367, 217, 213, 715, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 367 x 217 x 213 x 715 x 677 = 32844307035540
Therefore, the lowest common multiple of 734,868,852,715,677 is 32844307035540.
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.
734 x 868 x 852 x 715 x 677 = 262754456284320
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.
734 : 1, 2, 367, 734
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
715 : 1, 5, 11, 13, 55, 65, 143, 715
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,868,852,715,677, is 1.
Now, the common factors can be found like this.
734:2x 367
868:2x 2x 7x 31
852:2x 2x 3x 71
715:5x 11x 13
677:677
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 = 262754456284320/(1x8)
LCM = 262754456284320/8
LCM = 32844307035540
Thus, we can understand that the LCM of 734,868,852,715,677 is 32844307035540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 734, 868, 852, 715, 677?
Answer: LCM of 734, 868, 852, 715, 677 is 32844307035540.
2. How to calculate the LCM of 734, 868, 852, 715, 677?
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 734, 868, 852, 715, 677.
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}.