LCM of 491, 306, 342, 635, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 306, 342, 635, 920 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 491, 306, 342, 635, 920. So, keep reading to learn more.
Given numbers are 491,306,342,635,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,306,342,635,920 is 166770055080.
Find LCM of 491,306,342,635,920 with Prime Factorization
| 2 | 491, 306, 342, 635, 920 |
| 3 | 491, 153, 171, 635, 460 |
| 3 | 491, 51, 57, 635, 460 |
| 5 | 491, 17, 19, 635, 460 |
| 491, 17, 19, 127, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 491 x 17 x 19 x 127 x 92 = 166770055080
Therefore, the lowest common multiple of 491,306,342,635,920 is 166770055080.
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.
491 x 306 x 342 x 635 x 920 = 30018609914400
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.
491 : 1, 491
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
635 : 1, 5, 127, 635
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,306,342,635,920, is 1.
Now, the common factors can be found like this.
491:491
306:2x 3x 3x 17
342:2x 3x 3x 19
635:5x 127
920:2x 2x 2x 5x 23
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 30018609914400/(1x180)
LCM = 30018609914400/180
LCM = 166770055080
Thus, we can understand that the LCM of 491,306,342,635,920 is 166770055080.
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FAQs on LCM of 491, 306, 342, 635, 920
1. What is the LCM of 491, 306, 342, 635, 920?
Answer: LCM of 491, 306, 342, 635, 920 is 166770055080.
2. How to calculate the LCM of 491, 306, 342, 635, 920?
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 491, 306, 342, 635, 920.
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}.