Find the LCM of 212, 893, 788, 133, 672 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 212, 893, 788, 133, 672. So, keep reading to learn more.
Given numbers are 212,893,788,133,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,893,788,133,672 is 6265602336.
Find LCM of 212,893,788,133,672 with Prime Factorization
2 | 212, 893, 788, 133, 672 |
2 | 106, 893, 394, 133, 336 |
7 | 53, 893, 197, 133, 168 |
19 | 53, 893, 197, 19, 24 |
53, 47, 197, 1, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 53 x 47 x 197 x 1 x 24 = 6265602336
Therefore, the lowest common multiple of 212,893,788,133,672 is 6265602336.
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.
212 x 893 x 788 x 133 x 672 = 13333201771008
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.
212 : 1, 2, 4, 53, 106, 212
893 : 1, 19, 47, 893
788 : 1, 2, 4, 197, 394, 788
133 : 1, 7, 19, 133
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,893,788,133,672, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
893:19x 47
788:2x 2x 197
133:7x 19
672:2x 2x 2x 2x 2x 3x 7
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 2x 7x 19 = 2128
Therefore, the value for common factors is 2128.
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 = 13333201771008/(1x2128)
LCM = 13333201771008/2128
LCM = 6265602336
Thus, we can understand that the LCM of 212,893,788,133,672 is 6265602336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 212, 893, 788, 133, 672?
Answer: LCM of 212, 893, 788, 133, 672 is 6265602336.
2. How to calculate the LCM of 212, 893, 788, 133, 672?
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 212, 893, 788, 133, 672.
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}.