LCM of 672, 496, 893, 197, 118
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 496, 893, 197, 118 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 672, 496, 893, 197, 118. So, keep reading to learn more.
Given numbers are 672,496,893,197,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,496,893,197,118 is 216222390048.
Find LCM of 672,496,893,197,118 with Prime Factorization
| 2 | 672, 496, 893, 197, 118 |
| 2 | 336, 248, 893, 197, 59 |
| 2 | 168, 124, 893, 197, 59 |
| 2 | 84, 62, 893, 197, 59 |
| 42, 31, 893, 197, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 42 x 31 x 893 x 197 x 59 = 216222390048
Therefore, the lowest common multiple of 672,496,893,197,118 is 216222390048.
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.
672 x 496 x 893 x 197 x 118 = 6919116481536
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.
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
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
893 : 1, 19, 47, 893
197 : 1, 197
118 : 1, 2, 59, 118
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,496,893,197,118, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
496:2x 2x 2x 2x 31
893:19x 47
197:197
118:2x 59
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 2 = 32
Therefore, the value for common factors is 32.
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 = 6919116481536/(1x32)
LCM = 6919116481536/32
LCM = 216222390048
Thus, we can understand that the LCM of 672,496,893,197,118 is 216222390048.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 672, 496, 893, 197, 118
1. What is the LCM of 672, 496, 893, 197, 118?
Answer: LCM of 672, 496, 893, 197, 118 is 216222390048.
2. How to calculate the LCM of 672, 496, 893, 197, 118?
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 672, 496, 893, 197, 118.
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}.