LCM of 636, 319, 689, 396, 100
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 319, 689, 396, 100 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 636, 319, 689, 396, 100. So, keep reading to learn more.
Given numbers are 636,319,689,396,100
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,319,689,396,100 is 197811900.
Find LCM of 636,319,689,396,100 with Prime Factorization
| 2 | 636, 319, 689, 396, 100 |
| 2 | 318, 319, 689, 198, 50 |
| 3 | 159, 319, 689, 99, 25 |
| 11 | 53, 319, 689, 33, 25 |
| 53 | 53, 29, 689, 3, 25 |
| 1, 29, 13, 3, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 53 x 1 x 29 x 13 x 3 x 25 = 197811900
Therefore, the lowest common multiple of 636,319,689,396,100 is 197811900.
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.
636 x 319 x 689 x 396 x 100 = 5535568209600
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
319 : 1, 11, 29, 319
689 : 1, 13, 53, 689
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,319,689,396,100, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
319:11x 29
689:13x 53
396:2x 2x 3x 3x 11
100:2x 2x 5x 5
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 2x 3x 11x 53 = 27984
Therefore, the value for common factors is 27984.
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 = 5535568209600/(1x27984)
LCM = 5535568209600/27984
LCM = 197811900
Thus, we can understand that the LCM of 636,319,689,396,100 is 197811900.
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FAQs on LCM of 636, 319, 689, 396, 100
1. What is the LCM of 636, 319, 689, 396, 100?
Answer: LCM of 636, 319, 689, 396, 100 is 197811900.
2. How to calculate the LCM of 636, 319, 689, 396, 100?
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 636, 319, 689, 396, 100.
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}.