LCM of 296, 178, 360, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 178, 360, 565 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 296, 178, 360, 565. So, keep reading to learn more.
Given numbers are 296,178,360,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,178,360,565 is 133959240.
Find LCM of 296,178,360,565 with Prime Factorization
| 2 | 296, 178, 360, 565 |
| 2 | 148, 89, 180, 565 |
| 2 | 74, 89, 90, 565 |
| 5 | 37, 89, 45, 565 |
| 37, 89, 9, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 37 x 89 x 9 x 113 = 133959240
Therefore, the lowest common multiple of 296,178,360,565 is 133959240.
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.
296 x 178 x 360 x 565 = 10716739200
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
178 : 1, 2, 89, 178
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,178,360,565, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
178:2x 89
360:2x 2x 2x 3x 3x 5
565:5x 113
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 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 10716739200/(1x80)
LCM = 10716739200/80
LCM = 133959240
Thus, we can understand that the LCM of 296,178,360,565 is 133959240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 296, 178, 360, 565
1. What is the LCM of 296, 178, 360, 565?
Answer: LCM of 296, 178, 360, 565 is 133959240.
2. How to calculate the LCM of 296, 178, 360, 565?
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 296, 178, 360, 565.
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}.