LCM of 772, 310, 836, 310, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 310, 836, 310, 609 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 772, 310, 836, 310, 609. So, keep reading to learn more.
Given numbers are 772,310,836,310,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,310,836,310,609 is 15230444460.
Find LCM of 772,310,836,310,609 with Prime Factorization
| 2 | 772, 310, 836, 310, 609 |
| 2 | 386, 155, 418, 155, 609 |
| 5 | 193, 155, 209, 155, 609 |
| 31 | 193, 31, 209, 31, 609 |
| 193, 1, 209, 1, 609 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 31 x 193 x 1 x 209 x 1 x 609 = 15230444460
Therefore, the lowest common multiple of 772,310,836,310,609 is 15230444460.
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.
772 x 310 x 836 x 310 x 609 = 37771502260800
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.
772 : 1, 2, 4, 193, 386, 772
310 : 1, 2, 5, 10, 31, 62, 155, 310
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
310 : 1, 2, 5, 10, 31, 62, 155, 310
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,310,836,310,609, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
310:2x 5x 31
836:2x 2x 11x 19
310:2x 5x 31
609:3x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 31 = 2480
Therefore, the value for common factors is 2480.
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 = 37771502260800/(1x2480)
LCM = 37771502260800/2480
LCM = 15230444460
Thus, we can understand that the LCM of 772,310,836,310,609 is 15230444460.
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FAQs on LCM of 772, 310, 836, 310, 609
1. What is the LCM of 772, 310, 836, 310, 609?
Answer: LCM of 772, 310, 836, 310, 609 is 15230444460.
2. How to calculate the LCM of 772, 310, 836, 310, 609?
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 772, 310, 836, 310, 609.
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}.