LCM of 307, 798, 437, 623, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 307, 798, 437, 623, 979 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, 798, 437, 623, 979. So, keep reading to learn more.
Given numbers are 307,798,437,623,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,798,437,623,979 is 5516349762.
Find LCM of 307,798,437,623,979 with Prime Factorization
| 7 | 307, 798, 437, 623, 979 |
| 19 | 307, 114, 437, 89, 979 |
| 89 | 307, 6, 23, 89, 979 |
| 307, 6, 23, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
7 x 19 x 89 x 307 x 6 x 23 x 1 x 11 = 5516349762
Therefore, the lowest common multiple of 307,798,437,623,979 is 5516349762.
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 798 x 437 x 623 x 979 = 65297032132794
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
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
437 : 1, 19, 23, 437
623 : 1, 7, 89, 623
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,798,437,623,979, is 1.
Now, the common factors can be found like this.
307:307
798:2x 3x 7x 19
437:19x 23
623:7x 89
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 19x 89 = 11837
Therefore, the value for common factors is 11837.
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 = 65297032132794/(1x11837)
LCM = 65297032132794/11837
LCM = 5516349762
Thus, we can understand that the LCM of 307,798,437,623,979 is 5516349762.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 307, 798, 437, 623, 979
1. What is the LCM of 307, 798, 437, 623, 979?
Answer: LCM of 307, 798, 437, 623, 979 is 5516349762.
2. How to calculate the LCM of 307, 798, 437, 623, 979?
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, 798, 437, 623, 979.
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}.