LCM of 606, 716, 909, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 716, 909, 779 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 606, 716, 909, 779. So, keep reading to learn more.
Given numbers are 606,716,909,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,716,909,779 is 507007476.
Find LCM of 606,716,909,779 with Prime Factorization
| 2 | 606, 716, 909, 779 |
| 3 | 303, 358, 909, 779 |
| 101 | 101, 358, 303, 779 |
| 1, 358, 3, 779 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 1 x 358 x 3 x 779 = 507007476
Therefore, the lowest common multiple of 606,716,909,779 is 507007476.
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.
606 x 716 x 909 x 779 = 307246530456
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
716 : 1, 2, 4, 179, 358, 716
909 : 1, 3, 9, 101, 303, 909
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,716,909,779, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
716:2x 2x 179
909:3x 3x 101
779:19x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 101 = 606
Therefore, the value for common factors is 606.
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 = 307246530456/(1x606)
LCM = 307246530456/606
LCM = 507007476
Thus, we can understand that the LCM of 606,716,909,779 is 507007476.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 606, 716, 909, 779
1. What is the LCM of 606, 716, 909, 779?
Answer: LCM of 606, 716, 909, 779 is 507007476.
2. How to calculate the LCM of 606, 716, 909, 779?
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 606, 716, 909, 779.
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}.