Find the LCM of 708, 542, 181, 682, 342 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 708, 542, 181, 682, 342. So, keep reading to learn more.
Given numbers are 708,542,181,682,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,542,181,682,342 is 675010235196.
Find LCM of 708,542,181,682,342 with Prime Factorization
2 | 708, 542, 181, 682, 342 |
3 | 354, 271, 181, 341, 171 |
118, 271, 181, 341, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 118 x 271 x 181 x 341 x 57 = 675010235196
Therefore, the lowest common multiple of 708,542,181,682,342 is 675010235196.
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.
708 x 542 x 181 x 682 x 342 = 16200245644704
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
542 : 1, 2, 271, 542
181 : 1, 181
682 : 1, 2, 11, 22, 31, 62, 341, 682
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,542,181,682,342, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
542:2x 271
181:181
682:2x 11x 31
342:2x 3x 3x 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 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 16200245644704/(1x24)
LCM = 16200245644704/24
LCM = 675010235196
Thus, we can understand that the LCM of 708,542,181,682,342 is 675010235196.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 708, 542, 181, 682, 342?
Answer: LCM of 708, 542, 181, 682, 342 is 675010235196.
2. How to calculate the LCM of 708, 542, 181, 682, 342?
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 708, 542, 181, 682, 342.
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}.