Find the LCM of 770, 238, 479, 765, 911 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 770, 238, 479, 765, 911. So, keep reading to learn more.
Given numbers are 770,238,479,765,911
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,238,479,765,911 is 51408631890.
Find LCM of 770,238,479,765,911 with Prime Factorization
2 | 770, 238, 479, 765, 911 |
5 | 385, 119, 479, 765, 911 |
7 | 77, 119, 479, 153, 911 |
17 | 11, 17, 479, 153, 911 |
11, 1, 479, 9, 911 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 17 x 11 x 1 x 479 x 9 x 911 = 51408631890
Therefore, the lowest common multiple of 770,238,479,765,911 is 51408631890.
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.
770 x 238 x 479 x 765 x 911 = 61176271949100
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
238 : 1, 2, 7, 14, 17, 34, 119, 238
479 : 1, 479
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
911 : 1, 911
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,238,479,765,911, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
238:2x 7x 17
479:479
765:3x 3x 5x 17
911:911
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 17 = 1190
Therefore, the value for common factors is 1190.
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 = 61176271949100/(1x1190)
LCM = 61176271949100/1190
LCM = 51408631890
Thus, we can understand that the LCM of 770,238,479,765,911 is 51408631890.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 770, 238, 479, 765, 911?
Answer: LCM of 770, 238, 479, 765, 911 is 51408631890.
2. How to calculate the LCM of 770, 238, 479, 765, 911?
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 770, 238, 479, 765, 911.
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}.