Find the LCM of 355, 889, 728, 955, 242 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 355, 889, 728, 955, 242. So, keep reading to learn more.
Given numbers are 355,889,728,955,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,889,728,955,242 is 758546468680.
Find LCM of 355,889,728,955,242 with Prime Factorization
2 | 355, 889, 728, 955, 242 |
5 | 355, 889, 364, 955, 121 |
7 | 71, 889, 364, 191, 121 |
71, 127, 52, 191, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 71 x 127 x 52 x 191 x 121 = 758546468680
Therefore, the lowest common multiple of 355,889,728,955,242 is 758546468680.
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.
355 x 889 x 728 x 955 x 242 = 53098252807600
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.
355 : 1, 5, 71, 355
889 : 1, 7, 127, 889
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
955 : 1, 5, 191, 955
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,889,728,955,242, is 1.
Now, the common factors can be found like this.
355:5x 71
889:7x 127
728:2x 2x 2x 7x 13
955:5x 191
242:2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7 = 70
Therefore, the value for common factors is 70.
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 = 53098252807600/(1x70)
LCM = 53098252807600/70
LCM = 758546468680
Thus, we can understand that the LCM of 355,889,728,955,242 is 758546468680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 355, 889, 728, 955, 242?
Answer: LCM of 355, 889, 728, 955, 242 is 758546468680.
2. How to calculate the LCM of 355, 889, 728, 955, 242?
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 355, 889, 728, 955, 242.
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}.