LCM of 787, 403, 306, 606, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 403, 306, 606, 909 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 787, 403, 306, 606, 909. So, keep reading to learn more.
Given numbers are 787,403,306,606,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,403,306,606,909 is 9802177866.
Find LCM of 787,403,306,606,909 with Prime Factorization
| 2 | 787, 403, 306, 606, 909 |
| 3 | 787, 403, 153, 303, 909 |
| 3 | 787, 403, 51, 101, 303 |
| 101 | 787, 403, 17, 101, 101 |
| 787, 403, 17, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 101 x 787 x 403 x 17 x 1 x 1 = 9802177866
Therefore, the lowest common multiple of 787,403,306,606,909 is 9802177866.
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.
787 x 403 x 306 x 606 x 909 = 53461078081164
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.
787 : 1, 787
403 : 1, 13, 31, 403
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
606 : 1, 2, 3, 6, 101, 202, 303, 606
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,403,306,606,909, is 1.
Now, the common factors can be found like this.
787:787
403:13x 31
306:2x 3x 3x 17
606:2x 3x 101
909:3x 3x 101
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 3x 3x 101 = 5454
Therefore, the value for common factors is 5454.
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 = 53461078081164/(1x5454)
LCM = 53461078081164/5454
LCM = 9802177866
Thus, we can understand that the LCM of 787,403,306,606,909 is 9802177866.
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FAQs on LCM of 787, 403, 306, 606, 909
1. What is the LCM of 787, 403, 306, 606, 909?
Answer: LCM of 787, 403, 306, 606, 909 is 9802177866.
2. How to calculate the LCM of 787, 403, 306, 606, 909?
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 787, 403, 306, 606, 909.
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}.