Find the LCM of 152, 327, 740, 426, 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 152, 327, 740, 426, 223. So, keep reading to learn more.
Given numbers are 152,327,740,426,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,327,740,426,223 is 145588234920.
Find LCM of 152,327,740,426,223 with Prime Factorization
2 | 152, 327, 740, 426, 223 |
2 | 76, 327, 370, 213, 223 |
3 | 38, 327, 185, 213, 223 |
38, 109, 185, 71, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 38 x 109 x 185 x 71 x 223 = 145588234920
Therefore, the lowest common multiple of 152,327,740,426,223 is 145588234920.
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.
152 x 327 x 740 x 426 x 223 = 3494117638080
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
327 : 1, 3, 109, 327
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
426 : 1, 2, 3, 6, 71, 142, 213, 426
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,327,740,426,223, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
327:3x 109
740:2x 2x 5x 37
426:2x 3x 71
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 = 3494117638080/(1x24)
LCM = 3494117638080/24
LCM = 145588234920
Thus, we can understand that the LCM of 152,327,740,426,223 is 145588234920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 152, 327, 740, 426, 223?
Answer: LCM of 152, 327, 740, 426, 223 is 145588234920.
2. How to calculate the LCM of 152, 327, 740, 426, 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 152, 327, 740, 426, 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}.