LCM of 655, 393, 500, 744, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 393, 500, 744, 777 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 655, 393, 500, 744, 777. So, keep reading to learn more.
Given numbers are 655,393,500,744,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,393,500,744,777 is 3155397000.
Find LCM of 655,393,500,744,777 with Prime Factorization
| 2 | 655, 393, 500, 744, 777 |
| 2 | 655, 393, 250, 372, 777 |
| 3 | 655, 393, 125, 186, 777 |
| 5 | 655, 131, 125, 62, 259 |
| 131 | 131, 131, 25, 62, 259 |
| 1, 1, 25, 62, 259 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 131 x 1 x 1 x 25 x 62 x 259 = 3155397000
Therefore, the lowest common multiple of 655,393,500,744,777 is 3155397000.
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.
655 x 393 x 500 x 744 x 777 = 74404261260000
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.
655 : 1, 5, 131, 655
393 : 1, 3, 131, 393
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,393,500,744,777, is 1.
Now, the common factors can be found like this.
655:5x 131
393:3x 131
500:2x 2x 5x 5x 5
744:2x 2x 2x 3x 31
777:3x 7x 37
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 3x 3x 5x 131 = 23580
Therefore, the value for common factors is 23580.
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 = 74404261260000/(1x23580)
LCM = 74404261260000/23580
LCM = 3155397000
Thus, we can understand that the LCM of 655,393,500,744,777 is 3155397000.
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FAQs on LCM of 655, 393, 500, 744, 777
1. What is the LCM of 655, 393, 500, 744, 777?
Answer: LCM of 655, 393, 500, 744, 777 is 3155397000.
2. How to calculate the LCM of 655, 393, 500, 744, 777?
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 655, 393, 500, 744, 777.
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}.