LCM of 637, 504, 113, 646, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 504, 113, 646, 421 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, 504, 113, 646, 421. So, keep reading to learn more.
Given numbers are 637,504,113,646,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,504,113,646,421 is 704749847256.
Find LCM of 637,504,113,646,421 with Prime Factorization
| 2 | 637, 504, 113, 646, 421 |
| 7 | 637, 252, 113, 323, 421 |
| 91, 36, 113, 323, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 91 x 36 x 113 x 323 x 421 = 704749847256
Therefore, the lowest common multiple of 637,504,113,646,421 is 704749847256.
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 504 x 113 x 646 x 421 = 9866497861584
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
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
113 : 1, 113
646 : 1, 2, 17, 19, 34, 38, 323, 646
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,504,113,646,421, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
504:2x 2x 2x 3x 3x 7
113:113
646:2x 17x 19
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 9866497861584/(1x14)
LCM = 9866497861584/14
LCM = 704749847256
Thus, we can understand that the LCM of 637,504,113,646,421 is 704749847256.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 637, 504, 113, 646, 421
1. What is the LCM of 637, 504, 113, 646, 421?
Answer: LCM of 637, 504, 113, 646, 421 is 704749847256.
2. How to calculate the LCM of 637, 504, 113, 646, 421?
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, 504, 113, 646, 421.
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}.