LCM of 318, 360, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 360, 348 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 318, 360, 348. So, keep reading to learn more.
Given numbers are 318,360,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,360,348 is 553320.
Find LCM of 318,360,348 with Prime Factorization
| 2 | 318, 360, 348 |
| 2 | 159, 180, 174 |
| 3 | 159, 90, 87 |
| 53, 30, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 30 x 29 = 553320
Therefore, the lowest common multiple of 318,360,348 is 553320.
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.
318 x 360 x 348 = 39839040
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
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
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,360,348, is 6.
Now, the common factors can be found like this.
318:2x 3x 53
360:2x 2x 2x 3x 3x 5
348:2x 2x 3x 29
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 3 = 12
Therefore, the value for common factors is 12.
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 = 39839040/(6x12)
LCM = 39839040/72
LCM = 553320
Thus, we can understand that the LCM of 318,360,348 is 553320.
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FAQs on LCM of 318, 360, 348
1. What is the LCM of 318, 360, 348?
Answer: LCM of 318, 360, 348 is 553320.
2. How to calculate the LCM of 318, 360, 348?
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 318, 360, 348.
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}.