LCM of 693, 318, 471, 792, 425
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 318, 471, 792, 425 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 693, 318, 471, 792, 425. So, keep reading to learn more.
Given numbers are 693,318,471,792,425
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,318,471,792,425 is 19605940200.
Find LCM of 693,318,471,792,425 with Prime Factorization
| 2 | 693, 318, 471, 792, 425 |
| 3 | 693, 159, 471, 396, 425 |
| 3 | 231, 53, 157, 132, 425 |
| 11 | 77, 53, 157, 44, 425 |
| 7, 53, 157, 4, 425 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 7 x 53 x 157 x 4 x 425 = 19605940200
Therefore, the lowest common multiple of 693,318,471,792,425 is 19605940200.
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.
693 x 318 x 471 x 792 x 425 = 34937785436400
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.
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
318 : 1, 2, 3, 6, 53, 106, 159, 318
471 : 1, 3, 157, 471
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
425 : 1, 5, 17, 25, 85, 425
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,318,471,792,425, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
318:2x 3x 53
471:3x 157
792:2x 2x 2x 3x 3x 11
425:5x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 11 = 1782
Therefore, the value for common factors is 1782.
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 = 34937785436400/(1x1782)
LCM = 34937785436400/1782
LCM = 19605940200
Thus, we can understand that the LCM of 693,318,471,792,425 is 19605940200.
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FAQs on LCM of 693, 318, 471, 792, 425
1. What is the LCM of 693, 318, 471, 792, 425?
Answer: LCM of 693, 318, 471, 792, 425 is 19605940200.
2. How to calculate the LCM of 693, 318, 471, 792, 425?
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 693, 318, 471, 792, 425.
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}.