LCM of 816, 742, 708, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 742, 708, 777 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 816, 742, 708, 777. So, keep reading to learn more.
Given numbers are 816,742,708,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,742,708,777 is 660872688.
Find LCM of 816,742,708,777 with Prime Factorization
| 2 | 816, 742, 708, 777 |
| 2 | 408, 371, 354, 777 |
| 3 | 204, 371, 177, 777 |
| 7 | 68, 371, 59, 259 |
| 68, 53, 59, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 68 x 53 x 59 x 37 = 660872688
Therefore, the lowest common multiple of 816,742,708,777 is 660872688.
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.
816 x 742 x 708 x 777 = 333079834752
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
742 : 1, 2, 7, 14, 53, 106, 371, 742
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,742,708,777, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
742:2x 7x 53
708:2x 2x 3x 59
777:3x 7x 37
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 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 333079834752/(1x504)
LCM = 333079834752/504
LCM = 660872688
Thus, we can understand that the LCM of 816,742,708,777 is 660872688.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 816, 742, 708, 777
1. What is the LCM of 816, 742, 708, 777?
Answer: LCM of 816, 742, 708, 777 is 660872688.
2. How to calculate the LCM of 816, 742, 708, 777?
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 816, 742, 708, 777.
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}.