LCM of 969, 140, 168, 878
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 140, 168, 878 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 969, 140, 168, 878. So, keep reading to learn more.
Given numbers are 969,140,168,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,140,168,878 is 119109480.
Find LCM of 969,140,168,878 with Prime Factorization
| 2 | 969, 140, 168, 878 |
| 2 | 969, 70, 84, 439 |
| 3 | 969, 35, 42, 439 |
| 7 | 323, 35, 14, 439 |
| 323, 5, 2, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 323 x 5 x 2 x 439 = 119109480
Therefore, the lowest common multiple of 969,140,168,878 is 119109480.
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.
969 x 140 x 168 x 878 = 20010392640
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,140,168,878, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
140:2x 2x 5x 7
168:2x 2x 2x 3x 7
878:2x 439
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 7 = 168
Therefore, the value for common factors is 168.
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 = 20010392640/(1x168)
LCM = 20010392640/168
LCM = 119109480
Thus, we can understand that the LCM of 969,140,168,878 is 119109480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 969, 140, 168, 878
1. What is the LCM of 969, 140, 168, 878?
Answer: LCM of 969, 140, 168, 878 is 119109480.
2. How to calculate the LCM of 969, 140, 168, 878?
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 969, 140, 168, 878.
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}.