Find the LCM of 734, 542, 681, 957, 566 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, 542, 681, 957, 566. So, keep reading to learn more.
Given numbers are 734,542,681,957,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 734,542,681,957,566 is 12228961600218.
Find LCM of 734,542,681,957,566 with Prime Factorization
2 | 734, 542, 681, 957, 566 |
3 | 367, 271, 681, 957, 283 |
367, 271, 227, 319, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 367 x 271 x 227 x 319 x 283 = 12228961600218
Therefore, the lowest common multiple of 734,542,681,957,566 is 12228961600218.
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 542 x 681 x 957 x 566 = 146747539202616
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
542 : 1, 2, 271, 542
681 : 1, 3, 227, 681
957 : 1, 3, 11, 29, 33, 87, 319, 957
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,542,681,957,566, is 1.
Now, the common factors can be found like this.
734:2x 367
542:2x 271
681:3x 227
957:3x 11x 29
566:2x 283
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 3 = 12
Therefore, the value for common factors is 12.
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 = 146747539202616/(1x12)
LCM = 146747539202616/12
LCM = 12228961600218
Thus, we can understand that the LCM of 734,542,681,957,566 is 12228961600218.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 734, 542, 681, 957, 566?
Answer: LCM of 734, 542, 681, 957, 566 is 12228961600218.
2. How to calculate the LCM of 734, 542, 681, 957, 566?
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, 542, 681, 957, 566.
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}.