LCM of 766, 764, 742, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 766, 764, 742, 352 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 766, 764, 742, 352. So, keep reading to learn more.
Given numbers are 766,764,742,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,764,742,352 is 9553196576.
Find LCM of 766,764,742,352 with Prime Factorization
| 2 | 766, 764, 742, 352 |
| 2 | 383, 382, 371, 176 |
| 383, 191, 371, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 383 x 191 x 371 x 88 = 9553196576
Therefore, the lowest common multiple of 766,764,742,352 is 9553196576.
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.
766 x 764 x 742 x 352 = 152851145216
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.
766 : 1, 2, 383, 766
764 : 1, 2, 4, 191, 382, 764
742 : 1, 2, 7, 14, 53, 106, 371, 742
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,764,742,352, is 2.
Now, the common factors can be found like this.
766:2x 383
764:2x 2x 191
742:2x 7x 53
352:2x 2x 2x 2x 2x 11
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 2 = 8
Therefore, the value for common factors is 8.
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 = 152851145216/(2x8)
LCM = 152851145216/16
LCM = 9553196576
Thus, we can understand that the LCM of 766,764,742,352 is 9553196576.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 766, 764, 742, 352
1. What is the LCM of 766, 764, 742, 352?
Answer: LCM of 766, 764, 742, 352 is 9553196576.
2. How to calculate the LCM of 766, 764, 742, 352?
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 766, 764, 742, 352.
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}.