LCM of 346, 210, 642, 164, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 210, 642, 164, 505 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, 210, 642, 164, 505. So, keep reading to learn more.
Given numbers are 346,210,642,164,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,210,642,164,505 is 32194701420.
Find LCM of 346,210,642,164,505 with Prime Factorization
| 2 | 346, 210, 642, 164, 505 |
| 3 | 173, 105, 321, 82, 505 |
| 5 | 173, 35, 107, 82, 505 |
| 173, 7, 107, 82, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 173 x 7 x 107 x 82 x 101 = 32194701420
Therefore, the lowest common multiple of 346,210,642,164,505 is 32194701420.
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 210 x 642 x 164 x 505 = 3863364170400
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
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
642 : 1, 2, 3, 6, 107, 214, 321, 642
164 : 1, 2, 4, 41, 82, 164
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,210,642,164,505, is 1.
Now, the common factors can be found like this.
346:2x 173
210:2x 3x 5x 7
642:2x 3x 107
164:2x 2x 41
505:5x 101
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 3863364170400/(1x120)
LCM = 3863364170400/120
LCM = 32194701420
Thus, we can understand that the LCM of 346,210,642,164,505 is 32194701420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 346, 210, 642, 164, 505
1. What is the LCM of 346, 210, 642, 164, 505?
Answer: LCM of 346, 210, 642, 164, 505 is 32194701420.
2. How to calculate the LCM of 346, 210, 642, 164, 505?
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, 210, 642, 164, 505.
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}.