LCM of 268, 263, 789, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 263, 789, 274 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 268, 263, 789, 274. So, keep reading to learn more.
Given numbers are 268,263,789,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,263,789,274 is 28968924.
Find LCM of 268,263,789,274 with Prime Factorization
| 2 | 268, 263, 789, 274 |
| 263 | 134, 263, 789, 137 |
| 134, 1, 3, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 263 x 134 x 1 x 3 x 137 = 28968924
Therefore, the lowest common multiple of 268,263,789,274 is 28968924.
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.
268 x 263 x 789 x 274 = 15237654024
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.
268 : 1, 2, 4, 67, 134, 268
263 : 1, 263
789 : 1, 3, 263, 789
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,263,789,274, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
263:263
789:3x 263
274:2x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 263 = 526
Therefore, the value for common factors is 526.
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 = 15237654024/(1x526)
LCM = 15237654024/526
LCM = 28968924
Thus, we can understand that the LCM of 268,263,789,274 is 28968924.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 268, 263, 789, 274
1. What is the LCM of 268, 263, 789, 274?
Answer: LCM of 268, 263, 789, 274 is 28968924.
2. How to calculate the LCM of 268, 263, 789, 274?
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 268, 263, 789, 274.
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}.