LCM of 262, 480, 194, 770, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 480, 194, 770, 693 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 262, 480, 194, 770, 693. So, keep reading to learn more.
Given numbers are 262,480,194,770,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,480,194,770,693 is 1408952160.
Find LCM of 262,480,194,770,693 with Prime Factorization
| 2 | 262, 480, 194, 770, 693 |
| 3 | 131, 240, 97, 385, 693 |
| 5 | 131, 80, 97, 385, 231 |
| 7 | 131, 16, 97, 77, 231 |
| 11 | 131, 16, 97, 11, 33 |
| 131, 16, 97, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 131 x 16 x 97 x 1 x 3 = 1408952160
Therefore, the lowest common multiple of 262,480,194,770,693 is 1408952160.
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.
262 x 480 x 194 x 770 x 693 = 13018717958400
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.
262 : 1, 2, 131, 262
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
194 : 1, 2, 97, 194
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,480,194,770,693, is 1.
Now, the common factors can be found like this.
262:2x 131
480:2x 2x 2x 2x 2x 3x 5
194:2x 97
770:2x 5x 7x 11
693:3x 3x 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 3x 5x 7x 11 = 9240
Therefore, the value for common factors is 9240.
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 = 13018717958400/(1x9240)
LCM = 13018717958400/9240
LCM = 1408952160
Thus, we can understand that the LCM of 262,480,194,770,693 is 1408952160.
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FAQs on LCM of 262, 480, 194, 770, 693
1. What is the LCM of 262, 480, 194, 770, 693?
Answer: LCM of 262, 480, 194, 770, 693 is 1408952160.
2. How to calculate the LCM of 262, 480, 194, 770, 693?
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 262, 480, 194, 770, 693.
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}.