Find the LCM of 657, 349, 735, 775, 763 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 657, 349, 735, 775, 763. So, keep reading to learn more.
Given numbers are 657,349,735,775,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,349,735,775,763 is 949106782575.
Find LCM of 657,349,735,775,763 with Prime Factorization
3 | 657, 349, 735, 775, 763 |
5 | 219, 349, 245, 775, 763 |
7 | 219, 349, 49, 155, 763 |
219, 349, 7, 155, 109 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 219 x 349 x 7 x 155 x 109 = 949106782575
Therefore, the lowest common multiple of 657,349,735,775,763 is 949106782575.
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.
657 x 349 x 735 x 775 x 763 = 99656212170375
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.
657 : 1, 3, 9, 73, 219, 657
349 : 1, 349
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
775 : 1, 5, 25, 31, 155, 775
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,349,735,775,763, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
349:349
735:3x 5x 7x 7
775:5x 5x 31
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 99656212170375/(1x105)
LCM = 99656212170375/105
LCM = 949106782575
Thus, we can understand that the LCM of 657,349,735,775,763 is 949106782575.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 657, 349, 735, 775, 763?
Answer: LCM of 657, 349, 735, 775, 763 is 949106782575.
2. How to calculate the LCM of 657, 349, 735, 775, 763?
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 657, 349, 735, 775, 763.
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}.