LCM of 397, 288, 338, 724, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 288, 338, 724, 865 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 397, 288, 338, 724, 865. So, keep reading to learn more.
Given numbers are 397,288,338,724,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,288,338,724,865 is 3025271676960.
Find LCM of 397,288,338,724,865 with Prime Factorization
| 2 | 397, 288, 338, 724, 865 |
| 2 | 397, 144, 169, 362, 865 |
| 397, 72, 169, 181, 865 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 397 x 72 x 169 x 181 x 865 = 3025271676960
Therefore, the lowest common multiple of 397,288,338,724,865 is 3025271676960.
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.
397 x 288 x 338 x 724 x 865 = 24202173415680
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.
397 : 1, 397
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
338 : 1, 2, 13, 26, 169, 338
724 : 1, 2, 4, 181, 362, 724
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,288,338,724,865, is 1.
Now, the common factors can be found like this.
397:397
288:2x 2x 2x 2x 2x 3x 3
338:2x 13x 13
724:2x 2x 181
865:5x 173
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 2 = 8
Therefore, the value for common factors is 8.
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 = 24202173415680/(1x8)
LCM = 24202173415680/8
LCM = 3025271676960
Thus, we can understand that the LCM of 397,288,338,724,865 is 3025271676960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 397, 288, 338, 724, 865
1. What is the LCM of 397, 288, 338, 724, 865?
Answer: LCM of 397, 288, 338, 724, 865 is 3025271676960.
2. How to calculate the LCM of 397, 288, 338, 724, 865?
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 397, 288, 338, 724, 865.
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}.