LCM of 637, 349, 355, 568, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 349, 355, 568, 684 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 637, 349, 355, 568, 684. So, keep reading to learn more.
Given numbers are 637,349,355,568,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,349,355,568,684 is 107964085320.
Find LCM of 637,349,355,568,684 with Prime Factorization
| 2 | 637, 349, 355, 568, 684 |
| 2 | 637, 349, 355, 284, 342 |
| 71 | 637, 349, 355, 142, 171 |
| 637, 349, 5, 2, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 71 x 637 x 349 x 5 x 2 x 171 = 107964085320
Therefore, the lowest common multiple of 637,349,355,568,684 is 107964085320.
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.
637 x 349 x 355 x 568 x 684 = 30661800230880
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.
637 : 1, 7, 13, 49, 91, 637
349 : 1, 349
355 : 1, 5, 71, 355
568 : 1, 2, 4, 8, 71, 142, 284, 568
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,349,355,568,684, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
349:349
355:5x 71
568:2x 2x 2x 71
684:2x 2x 3x 3x 19
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 71 = 284
Therefore, the value for common factors is 284.
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 = 30661800230880/(1x284)
LCM = 30661800230880/284
LCM = 107964085320
Thus, we can understand that the LCM of 637,349,355,568,684 is 107964085320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 637, 349, 355, 568, 684
1. What is the LCM of 637, 349, 355, 568, 684?
Answer: LCM of 637, 349, 355, 568, 684 is 107964085320.
2. How to calculate the LCM of 637, 349, 355, 568, 684?
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 637, 349, 355, 568, 684.
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}.