LCM of 110, 304, 606, 319, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 304, 606, 319, 403 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 110, 304, 606, 319, 403. So, keep reading to learn more.
Given numbers are 110,304,606,319,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,304,606,319,403 is 59208211920.
Find LCM of 110,304,606,319,403 with Prime Factorization
| 2 | 110, 304, 606, 319, 403 |
| 11 | 55, 152, 303, 319, 403 |
| 5, 152, 303, 29, 403 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 5 x 152 x 303 x 29 x 403 = 59208211920
Therefore, the lowest common multiple of 110,304,606,319,403 is 59208211920.
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.
110 x 304 x 606 x 319 x 403 = 2605161324480
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
606 : 1, 2, 3, 6, 101, 202, 303, 606
319 : 1, 11, 29, 319
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,304,606,319,403, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
304:2x 2x 2x 2x 19
606:2x 3x 101
319:11x 29
403:13x 31
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 11 = 44
Therefore, the value for common factors is 44.
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 = 2605161324480/(1x44)
LCM = 2605161324480/44
LCM = 59208211920
Thus, we can understand that the LCM of 110,304,606,319,403 is 59208211920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 110, 304, 606, 319, 403
1. What is the LCM of 110, 304, 606, 319, 403?
Answer: LCM of 110, 304, 606, 319, 403 is 59208211920.
2. How to calculate the LCM of 110, 304, 606, 319, 403?
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 110, 304, 606, 319, 403.
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}.