LCM of 319, 322, 638, 362
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 322, 638, 362 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 319, 322, 638, 362. So, keep reading to learn more.
Given numbers are 319,322,638,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,322,638,362 is 18591958.
Find LCM of 319,322,638,362 with Prime Factorization
| 2 | 319, 322, 638, 362 |
| 11 | 319, 161, 319, 181 |
| 29 | 29, 161, 29, 181 |
| 1, 161, 1, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 1 x 161 x 1 x 181 = 18591958
Therefore, the lowest common multiple of 319,322,638,362 is 18591958.
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.
319 x 322 x 638 x 362 = 23723338408
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.
319 : 1, 11, 29, 319
322 : 1, 2, 7, 14, 23, 46, 161, 322
638 : 1, 2, 11, 22, 29, 58, 319, 638
362 : 1, 2, 181, 362
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,322,638,362, is 1.
Now, the common factors can be found like this.
319:11x 29
322:2x 7x 23
638:2x 11x 29
362:2x 181
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 11x 29 = 1276
Therefore, the value for common factors is 1276.
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 = 23723338408/(1x1276)
LCM = 23723338408/1276
LCM = 18591958
Thus, we can understand that the LCM of 319,322,638,362 is 18591958.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 322, 638, 362
1. What is the LCM of 319, 322, 638, 362?
Answer: LCM of 319, 322, 638, 362 is 18591958.
2. How to calculate the LCM of 319, 322, 638, 362?
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 319, 322, 638, 362.
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}.