Find the LCM of 708, 326, 942, 986, 223 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, 326, 942, 986, 223. So, keep reading to learn more.
Given numbers are 708,326,942,986,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,326,942,986,223 is 1991921855892.
Find LCM of 708,326,942,986,223 with Prime Factorization
2 | 708, 326, 942, 986, 223 |
3 | 354, 163, 471, 493, 223 |
118, 163, 157, 493, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 118 x 163 x 157 x 493 x 223 = 1991921855892
Therefore, the lowest common multiple of 708,326,942,986,223 is 1991921855892.
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 326 x 942 x 986 x 223 = 47806124541408
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
326 : 1, 2, 163, 326
942 : 1, 2, 3, 6, 157, 314, 471, 942
986 : 1, 2, 17, 29, 34, 58, 493, 986
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,326,942,986,223, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
326:2x 163
942:2x 3x 157
986:2x 17x 29
223:223
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 = 47806124541408/(1x24)
LCM = 47806124541408/24
LCM = 1991921855892
Thus, we can understand that the LCM of 708,326,942,986,223 is 1991921855892.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 708, 326, 942, 986, 223?
Answer: LCM of 708, 326, 942, 986, 223 is 1991921855892.
2. How to calculate the LCM of 708, 326, 942, 986, 223?
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, 326, 942, 986, 223.
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}.