LCM of 307, 435, 208, 841, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 307, 435, 208, 841, 949 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, 435, 208, 841, 949. So, keep reading to learn more.
Given numbers are 307,435,208,841,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,435,208,841,949 is 58804671120.
Find LCM of 307,435,208,841,949 with Prime Factorization
| 13 | 307, 435, 208, 841, 949 |
| 29 | 307, 435, 16, 841, 73 |
| 307, 15, 16, 29, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 29 x 307 x 15 x 16 x 29 x 73 = 58804671120
Therefore, the lowest common multiple of 307,435,208,841,949 is 58804671120.
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 435 x 208 x 841 x 949 = 22169361012240
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
435 : 1, 3, 5, 15, 29, 87, 145, 435
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
841 : 1, 29, 841
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,435,208,841,949, is 1.
Now, the common factors can be found like this.
307:307
435:3x 5x 29
208:2x 2x 2x 2x 13
841:29x 29
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 29 = 377
Therefore, the value for common factors is 377.
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 = 22169361012240/(1x377)
LCM = 22169361012240/377
LCM = 58804671120
Thus, we can understand that the LCM of 307,435,208,841,949 is 58804671120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 307, 435, 208, 841, 949
1. What is the LCM of 307, 435, 208, 841, 949?
Answer: LCM of 307, 435, 208, 841, 949 is 58804671120.
2. How to calculate the LCM of 307, 435, 208, 841, 949?
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, 435, 208, 841, 949.
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}.