LCM of 346, 205, 615, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 205, 615, 410 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 346, 205, 615, 410. So, keep reading to learn more.
Given numbers are 346,205,615,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,205,615,410 is 212790.
Find LCM of 346,205,615,410 with Prime Factorization
| 2 | 346, 205, 615, 410 |
| 5 | 173, 205, 615, 205 |
| 41 | 173, 41, 123, 41 |
| 173, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 41 x 173 x 1 x 3 x 1 = 212790
Therefore, the lowest common multiple of 346,205,615,410 is 212790.
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.
346 x 205 x 615 x 410 = 17884999500
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.
346 : 1, 2, 173, 346
205 : 1, 5, 41, 205
615 : 1, 3, 5, 15, 41, 123, 205, 615
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,205,615,410, is 1.
Now, the common factors can be found like this.
346:2x 173
205:5x 41
615:3x 5x 41
410:2x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 41x 41 = 84050
Therefore, the value for common factors is 84050.
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 = 17884999500/(1x84050)
LCM = 17884999500/84050
LCM = 212790
Thus, we can understand that the LCM of 346,205,615,410 is 212790.
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FAQs on LCM of 346, 205, 615, 410
1. What is the LCM of 346, 205, 615, 410?
Answer: LCM of 346, 205, 615, 410 is 212790.
2. How to calculate the LCM of 346, 205, 615, 410?
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 346, 205, 615, 410.
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}.