LCM of 307, 242, 418, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 307, 242, 418, 637 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 307, 242, 418, 637. So, keep reading to learn more.
Given numbers are 307,242,418,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,242,418,637 is 899180282.
Find LCM of 307,242,418,637 with Prime Factorization
| 2 | 307, 242, 418, 637 |
| 11 | 307, 121, 209, 637 |
| 307, 11, 19, 637 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 307 x 11 x 19 x 637 = 899180282
Therefore, the lowest common multiple of 307,242,418,637 is 899180282.
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.
307 x 242 x 418 x 637 = 19781966204
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.
307 : 1, 307
242 : 1, 2, 11, 22, 121, 242
418 : 1, 2, 11, 19, 22, 38, 209, 418
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,242,418,637, is 1.
Now, the common factors can be found like this.
307:307
242:2x 11x 11
418:2x 11x 19
637:7x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 19781966204/(1x22)
LCM = 19781966204/22
LCM = 899180282
Thus, we can understand that the LCM of 307,242,418,637 is 899180282.
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FAQs on LCM of 307, 242, 418, 637
1. What is the LCM of 307, 242, 418, 637?
Answer: LCM of 307, 242, 418, 637 is 899180282.
2. How to calculate the LCM of 307, 242, 418, 637?
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 307, 242, 418, 637.
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}.