Find the LCM of 898, 836, 672, 238, 169 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 898, 836, 672, 238, 169. So, keep reading to learn more.
Given numbers are 898,836,672,238,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,836,672,238,169 is 181174689696.
Find LCM of 898,836,672,238,169 with Prime Factorization
2 | 898, 836, 672, 238, 169 |
2 | 449, 418, 336, 119, 169 |
7 | 449, 209, 168, 119, 169 |
449, 209, 24, 17, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 449 x 209 x 24 x 17 x 169 = 181174689696
Therefore, the lowest common multiple of 898,836,672,238,169 is 181174689696.
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.
898 x 836 x 672 x 238 x 169 = 20291565245952
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.
898 : 1, 2, 449, 898
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
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
238 : 1, 2, 7, 14, 17, 34, 119, 238
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,836,672,238,169, is 1.
Now, the common factors can be found like this.
898:2x 449
836:2x 2x 11x 19
672:2x 2x 2x 2x 2x 3x 7
238:2x 7x 17
169:13x 13
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 7 = 112
Therefore, the value for common factors is 112.
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 = 20291565245952/(1x112)
LCM = 20291565245952/112
LCM = 181174689696
Thus, we can understand that the LCM of 898,836,672,238,169 is 181174689696.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 898, 836, 672, 238, 169?
Answer: LCM of 898, 836, 672, 238, 169 is 181174689696.
2. How to calculate the LCM of 898, 836, 672, 238, 169?
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 898, 836, 672, 238, 169.
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}.