LCM of 173, 931, 894, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 931, 894, 209 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 173, 931, 894, 209. So, keep reading to learn more.
Given numbers are 173,931,894,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,931,894,209 is 1583893542.
Find LCM of 173,931,894,209 with Prime Factorization
| 19 | 173, 931, 894, 209 |
| 173, 49, 894, 11 |
Multiply the prime numbers at the bottom and the left side.
19 x 173 x 49 x 894 x 11 = 1583893542
Therefore, the lowest common multiple of 173,931,894,209 is 1583893542.
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.
173 x 931 x 894 x 209 = 30093977298
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.
173 : 1, 173
931 : 1, 7, 19, 49, 133, 931
894 : 1, 2, 3, 6, 149, 298, 447, 894
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,931,894,209, is 1.
Now, the common factors can be found like this.
173:173
931:7x 7x 19
894:2x 3x 149
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 30093977298/(1x19)
LCM = 30093977298/19
LCM = 1583893542
Thus, we can understand that the LCM of 173,931,894,209 is 1583893542.
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FAQs on LCM of 173, 931, 894, 209
1. What is the LCM of 173, 931, 894, 209?
Answer: LCM of 173, 931, 894, 209 is 1583893542.
2. How to calculate the LCM of 173, 931, 894, 209?
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 173, 931, 894, 209.
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}.