LCM of 936, 814, 370, 397
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 814, 370, 397 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 936, 814, 370, 397. So, keep reading to learn more.
Given numbers are 936,814,370,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,814,370,397 is 756189720.
Find LCM of 936,814,370,397 with Prime Factorization
| 2 | 936, 814, 370, 397 |
| 37 | 468, 407, 185, 397 |
| 468, 11, 5, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 468 x 11 x 5 x 397 = 756189720
Therefore, the lowest common multiple of 936,814,370,397 is 756189720.
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.
936 x 814 x 370 x 397 = 111916078560
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
814 : 1, 2, 11, 22, 37, 74, 407, 814
370 : 1, 2, 5, 10, 37, 74, 185, 370
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,814,370,397, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
814:2x 11x 37
370:2x 5x 37
397:397
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 37 = 148
Therefore, the value for common factors is 148.
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 = 111916078560/(1x148)
LCM = 111916078560/148
LCM = 756189720
Thus, we can understand that the LCM of 936,814,370,397 is 756189720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 936, 814, 370, 397
1. What is the LCM of 936, 814, 370, 397?
Answer: LCM of 936, 814, 370, 397 is 756189720.
2. How to calculate the LCM of 936, 814, 370, 397?
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 936, 814, 370, 397.
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}.