LCM of 173, 667, 298, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 667, 298, 346 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, 667, 298, 346. So, keep reading to learn more.
Given numbers are 173,667,298,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,667,298,346 is 34386518.
Find LCM of 173,667,298,346 with Prime Factorization
| 2 | 173, 667, 298, 346 |
| 173 | 173, 667, 149, 173 |
| 1, 667, 149, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 173 x 1 x 667 x 149 x 1 = 34386518
Therefore, the lowest common multiple of 173,667,298,346 is 34386518.
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 667 x 298 x 346 = 11897735228
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
667 : 1, 23, 29, 667
298 : 1, 2, 149, 298
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,667,298,346, is 1.
Now, the common factors can be found like this.
173:173
667:23x 29
298:2x 149
346:2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 173 = 346
Therefore, the value for common factors is 346.
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 = 11897735228/(1x346)
LCM = 11897735228/346
LCM = 34386518
Thus, we can understand that the LCM of 173,667,298,346 is 34386518.
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FAQs on LCM of 173, 667, 298, 346
1. What is the LCM of 173, 667, 298, 346?
Answer: LCM of 173, 667, 298, 346 is 34386518.
2. How to calculate the LCM of 173, 667, 298, 346?
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, 667, 298, 346.
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}.