LCM of 711, 461, 304, 304, 431
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 711, 461, 304, 304, 431 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 711, 461, 304, 304, 431. So, keep reading to learn more.
Given numbers are 711,461,304,304,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,461,304,304,431 is 42945867504.
Find LCM of 711,461,304,304,431 with Prime Factorization
| 2 | 711, 461, 304, 304, 431 |
| 2 | 711, 461, 152, 152, 431 |
| 2 | 711, 461, 76, 76, 431 |
| 2 | 711, 461, 38, 38, 431 |
| 19 | 711, 461, 19, 19, 431 |
| 711, 461, 1, 1, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 711 x 461 x 1 x 1 x 431 = 42945867504
Therefore, the lowest common multiple of 711,461,304,304,431 is 42945867504.
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.
711 x 461 x 304 x 304 x 431 = 13055543721216
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.
711 : 1, 3, 9, 79, 237, 711
461 : 1, 461
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,461,304,304,431, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
461:461
304:2x 2x 2x 2x 19
304:2x 2x 2x 2x 19
431:431
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 19 = 304
Therefore, the value for common factors is 304.
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 = 13055543721216/(1x304)
LCM = 13055543721216/304
LCM = 42945867504
Thus, we can understand that the LCM of 711,461,304,304,431 is 42945867504.
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FAQs on LCM of 711, 461, 304, 304, 431
1. What is the LCM of 711, 461, 304, 304, 431?
Answer: LCM of 711, 461, 304, 304, 431 is 42945867504.
2. How to calculate the LCM of 711, 461, 304, 304, 431?
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 711, 461, 304, 304, 431.
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}.