LCM of 769, 867, 117, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 867, 117, 312 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 769, 867, 117, 312. So, keep reading to learn more.
Given numbers are 769,867,117,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,867,117,312 is 208017576.
Find LCM of 769,867,117,312 with Prime Factorization
| 3 | 769, 867, 117, 312 |
| 13 | 769, 289, 39, 104 |
| 769, 289, 3, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 769 x 289 x 3 x 8 = 208017576
Therefore, the lowest common multiple of 769,867,117,312 is 208017576.
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.
769 x 867 x 117 x 312 = 24338056392
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.
769 : 1, 769
867 : 1, 3, 17, 51, 289, 867
117 : 1, 3, 9, 13, 39, 117
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,867,117,312, is 1.
Now, the common factors can be found like this.
769:769
867:3x 17x 17
117:3x 3x 13
312:2x 2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 24338056392/(1x117)
LCM = 24338056392/117
LCM = 208017576
Thus, we can understand that the LCM of 769,867,117,312 is 208017576.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 769, 867, 117, 312
1. What is the LCM of 769, 867, 117, 312?
Answer: LCM of 769, 867, 117, 312 is 208017576.
2. How to calculate the LCM of 769, 867, 117, 312?
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 769, 867, 117, 312.
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}.