LCM of 172, 209, 385, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 172, 209, 385, 938 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 172, 209, 385, 938. So, keep reading to learn more.
Given numbers are 172,209,385,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,209,385,938 is 84298060.
Find LCM of 172,209,385,938 with Prime Factorization
| 2 | 172, 209, 385, 938 |
| 7 | 86, 209, 385, 469 |
| 11 | 86, 209, 55, 67 |
| 86, 19, 5, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 86 x 19 x 5 x 67 = 84298060
Therefore, the lowest common multiple of 172,209,385,938 is 84298060.
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.
172 x 209 x 385 x 938 = 12981901240
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.
172 : 1, 2, 4, 43, 86, 172
209 : 1, 11, 19, 209
385 : 1, 5, 7, 11, 35, 55, 77, 385
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,209,385,938, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
209:11x 19
385:5x 7x 11
938:2x 7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 12981901240/(1x154)
LCM = 12981901240/154
LCM = 84298060
Thus, we can understand that the LCM of 172,209,385,938 is 84298060.
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FAQs on LCM of 172, 209, 385, 938
1. What is the LCM of 172, 209, 385, 938?
Answer: LCM of 172, 209, 385, 938 is 84298060.
2. How to calculate the LCM of 172, 209, 385, 938?
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 172, 209, 385, 938.
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}.