LCM of 794, 420, 456, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 794, 420, 456, 308 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, 420, 456, 308. So, keep reading to learn more.
Given numbers are 794,420,456,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,420,456,308 is 69697320.
Find LCM of 794,420,456,308 with Prime Factorization
| 2 | 794, 420, 456, 308 |
| 2 | 397, 210, 228, 154 |
| 3 | 397, 105, 114, 77 |
| 7 | 397, 35, 38, 77 |
| 397, 5, 38, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 397 x 5 x 38 x 11 = 69697320
Therefore, the lowest common multiple of 794,420,456,308 is 69697320.
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 420 x 456 x 308 = 46836599040
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,420,456,308, is 2.
Now, the common factors can be found like this.
794:2x 397
420:2x 2x 3x 5x 7
456:2x 2x 2x 3x 19
308:2x 2x 7x 11
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 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 46836599040/(2x336)
LCM = 46836599040/672
LCM = 69697320
Thus, we can understand that the LCM of 794,420,456,308 is 69697320.
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FAQs on LCM of 794, 420, 456, 308
1. What is the LCM of 794, 420, 456, 308?
Answer: LCM of 794, 420, 456, 308 is 69697320.
2. How to calculate the LCM of 794, 420, 456, 308?
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, 420, 456, 308.
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}.