Find the LCM of 767, 342, 101, 505 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 767, 342, 101, 505. So, keep reading to learn more.
Given numbers are 767,342,101,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,342,101,505 is 132468570.
Find LCM of 767,342,101,505 with Prime Factorization
101 | 767, 342, 101, 505 |
767, 342, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
101 x 767 x 342 x 1 x 5 = 132468570
Therefore, the lowest common multiple of 767,342,101,505 is 132468570.
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.
767 x 342 x 101 x 505 = 13379325570
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.
767 : 1, 13, 59, 767
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
101 : 1, 101
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,342,101,505, is 1.
Now, the common factors can be found like this.
767:13x 59
342:2x 3x 3x 19
101:101
505:5x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
101 = 101
Therefore, the value for common factors is 101.
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 = 13379325570/(1x101)
LCM = 13379325570/101
LCM = 132468570
Thus, we can understand that the LCM of 767,342,101,505 is 132468570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 767, 342, 101, 505?
Answer: LCM of 767, 342, 101, 505 is 132468570.
2. How to calculate the LCM of 767, 342, 101, 505?
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 767, 342, 101, 505.
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}.