Find the LCM of 707, 707, 335, 762 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 707, 707, 335, 762. So, keep reading to learn more.
Given numbers are 707,707,335,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,707,335,762 is 180475890.
Find LCM of 707,707,335,762 with Prime Factorization
7 | 707, 707, 335, 762 |
101 | 101, 101, 335, 762 |
1, 1, 335, 762 |
Multiply the prime numbers at the bottom and the left side.
7 x 101 x 1 x 1 x 335 x 762 = 180475890
Therefore, the lowest common multiple of 707,707,335,762 is 180475890.
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.
707 x 707 x 335 x 762 = 127596454230
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.
707 : 1, 7, 101, 707
707 : 1, 7, 101, 707
335 : 1, 5, 67, 335
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,707,335,762, is 1.
Now, the common factors can be found like this.
707:7x 101
707:7x 101
335:5x 67
762:2x 3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 101 = 707
Therefore, the value for common factors is 707.
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 = 127596454230/(1x707)
LCM = 127596454230/707
LCM = 180475890
Thus, we can understand that the LCM of 707,707,335,762 is 180475890.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 707, 707, 335, 762?
Answer: LCM of 707, 707, 335, 762 is 180475890.
2. How to calculate the LCM of 707, 707, 335, 762?
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 707, 707, 335, 762.
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}.