LCM of 798, 756, 932, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 798, 756, 932, 309 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 798, 756, 932, 309. So, keep reading to learn more.
Given numbers are 798,756,932,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,756,932,309 is 344721636.
Find LCM of 798,756,932,309 with Prime Factorization
| 2 | 798, 756, 932, 309 |
| 2 | 399, 378, 466, 309 |
| 3 | 399, 189, 233, 309 |
| 7 | 133, 63, 233, 103 |
| 19, 9, 233, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 9 x 233 x 103 = 344721636
Therefore, the lowest common multiple of 798,756,932,309 is 344721636.
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.
798 x 756 x 932 x 309 = 173739704544
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
932 : 1, 2, 4, 233, 466, 932
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,756,932,309, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
756:2x 2x 3x 3x 3x 7
932:2x 2x 233
309:3x 103
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 2x 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 173739704544/(1x504)
LCM = 173739704544/504
LCM = 344721636
Thus, we can understand that the LCM of 798,756,932,309 is 344721636.
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FAQs on LCM of 798, 756, 932, 309
1. What is the LCM of 798, 756, 932, 309?
Answer: LCM of 798, 756, 932, 309 is 344721636.
2. How to calculate the LCM of 798, 756, 932, 309?
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 798, 756, 932, 309.
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}.