LCM of 794, 198, 754, 456, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 794, 198, 754, 456, 126 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 794, 198, 754, 456, 126. So, keep reading to learn more.
Given numbers are 794,198,754,456,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,198,754,456,126 is 15765533784.
Find LCM of 794,198,754,456,126 with Prime Factorization
| 2 | 794, 198, 754, 456, 126 |
| 3 | 397, 99, 377, 228, 63 |
| 3 | 397, 33, 377, 76, 21 |
| 397, 11, 377, 76, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 397 x 11 x 377 x 76 x 7 = 15765533784
Therefore, the lowest common multiple of 794,198,754,456,126 is 15765533784.
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.
794 x 198 x 754 x 456 x 126 = 6810710594688
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.
794 : 1, 2, 397, 794
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
754 : 1, 2, 13, 26, 29, 58, 377, 754
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,198,754,456,126, is 2.
Now, the common factors can be found like this.
794:2x 397
198:2x 3x 3x 11
754:2x 13x 29
456:2x 2x 2x 3x 19
126:2x 3x 3x 7
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 3 = 216
Therefore, the value for common factors is 216.
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 = 6810710594688/(2x216)
LCM = 6810710594688/432
LCM = 15765533784
Thus, we can understand that the LCM of 794,198,754,456,126 is 15765533784.
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FAQs on LCM of 794, 198, 754, 456, 126
1. What is the LCM of 794, 198, 754, 456, 126?
Answer: LCM of 794, 198, 754, 456, 126 is 15765533784.
2. How to calculate the LCM of 794, 198, 754, 456, 126?
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 794, 198, 754, 456, 126.
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}.