LCM of 711, 400, 561, 473, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 711, 400, 561, 473, 476 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, 400, 561, 473, 476. So, keep reading to learn more.
Given numbers are 711,400,561,473,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,400,561,473,476 is 16008022800.
Find LCM of 711,400,561,473,476 with Prime Factorization
| 2 | 711, 400, 561, 473, 476 |
| 2 | 711, 200, 561, 473, 238 |
| 3 | 711, 100, 561, 473, 119 |
| 11 | 237, 100, 187, 473, 119 |
| 17 | 237, 100, 17, 43, 119 |
| 237, 100, 1, 43, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 237 x 100 x 1 x 43 x 7 = 16008022800
Therefore, the lowest common multiple of 711,400,561,473,476 is 16008022800.
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 400 x 561 x 473 x 476 = 35922003163200
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
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
561 : 1, 3, 11, 17, 33, 51, 187, 561
473 : 1, 11, 43, 473
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,400,561,473,476, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
400:2x 2x 2x 2x 5x 5
561:3x 11x 17
473:11x 43
476:2x 2x 7x 17
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 3x 11x 17 = 2244
Therefore, the value for common factors is 2244.
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 = 35922003163200/(1x2244)
LCM = 35922003163200/2244
LCM = 16008022800
Thus, we can understand that the LCM of 711,400,561,473,476 is 16008022800.
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FAQs on LCM of 711, 400, 561, 473, 476
1. What is the LCM of 711, 400, 561, 473, 476?
Answer: LCM of 711, 400, 561, 473, 476 is 16008022800.
2. How to calculate the LCM of 711, 400, 561, 473, 476?
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, 400, 561, 473, 476.
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}.