LCM of 772, 742, 893, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 742, 893, 893 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, 742, 893, 893. So, keep reading to learn more.
Given numbers are 772,742,893,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,742,893,893 is 255765916.
Find LCM of 772,742,893,893 with Prime Factorization
| 2 | 772, 742, 893, 893 |
| 19 | 386, 371, 893, 893 |
| 47 | 386, 371, 47, 47 |
| 386, 371, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 47 x 386 x 371 x 1 x 1 = 255765916
Therefore, the lowest common multiple of 772,742,893,893 is 255765916.
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 742 x 893 x 893 = 456797925976
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
742 : 1, 2, 7, 14, 53, 106, 371, 742
893 : 1, 19, 47, 893
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,742,893,893, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
742:2x 7x 53
893:19x 47
893:19x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 47 = 1786
Therefore, the value for common factors is 1786.
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 = 456797925976/(1x1786)
LCM = 456797925976/1786
LCM = 255765916
Thus, we can understand that the LCM of 772,742,893,893 is 255765916.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 772, 742, 893, 893
1. What is the LCM of 772, 742, 893, 893?
Answer: LCM of 772, 742, 893, 893 is 255765916.
2. How to calculate the LCM of 772, 742, 893, 893?
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, 742, 893, 893.
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}.