LCM of 403, 162, 465, 969, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 162, 465, 969, 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 403, 162, 465, 969, 346. So, keep reading to learn more.
Given numbers are 403,162,465,969,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,162,465,969,346 is 18240581970.
Find LCM of 403,162,465,969,346 with Prime Factorization
| 2 | 403, 162, 465, 969, 346 |
| 3 | 403, 81, 465, 969, 173 |
| 31 | 403, 27, 155, 323, 173 |
| 13, 27, 5, 323, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 13 x 27 x 5 x 323 x 173 = 18240581970
Therefore, the lowest common multiple of 403,162,465,969,346 is 18240581970.
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.
403 x 162 x 465 x 969 x 346 = 10178244739260
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.
403 : 1, 13, 31, 403
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
465 : 1, 3, 5, 15, 31, 93, 155, 465
969 : 1, 3, 17, 19, 51, 57, 323, 969
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,162,465,969,346, is 1.
Now, the common factors can be found like this.
403:13x 31
162:2x 3x 3x 3x 3
465:3x 5x 31
969:3x 17x 19
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 3x 3x 31 = 558
Therefore, the value for common factors is 558.
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 = 10178244739260/(1x558)
LCM = 10178244739260/558
LCM = 18240581970
Thus, we can understand that the LCM of 403,162,465,969,346 is 18240581970.
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FAQs on LCM of 403, 162, 465, 969, 346
1. What is the LCM of 403, 162, 465, 969, 346?
Answer: LCM of 403, 162, 465, 969, 346 is 18240581970.
2. How to calculate the LCM of 403, 162, 465, 969, 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 403, 162, 465, 969, 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}.