LCM of 322, 611, 893, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 611, 893, 784 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 322, 611, 893, 784. So, keep reading to learn more.
Given numbers are 322,611,893,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,611,893,784 is 209333488.
Find LCM of 322,611,893,784 with Prime Factorization
| 2 | 322, 611, 893, 784 |
| 7 | 161, 611, 893, 392 |
| 47 | 23, 611, 893, 56 |
| 23, 13, 19, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 47 x 23 x 13 x 19 x 56 = 209333488
Therefore, the lowest common multiple of 322,611,893,784 is 209333488.
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.
322 x 611 x 893 x 784 = 137741435104
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
611 : 1, 13, 47, 611
893 : 1, 19, 47, 893
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,611,893,784, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
611:13x 47
893:19x 47
784:2x 2x 2x 2x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 47 = 658
Therefore, the value for common factors is 658.
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 = 137741435104/(1x658)
LCM = 137741435104/658
LCM = 209333488
Thus, we can understand that the LCM of 322,611,893,784 is 209333488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 322, 611, 893, 784
1. What is the LCM of 322, 611, 893, 784?
Answer: LCM of 322, 611, 893, 784 is 209333488.
2. How to calculate the LCM of 322, 611, 893, 784?
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 322, 611, 893, 784.
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}.