LCM of 336, 735, 300, 331
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 735, 300, 331 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 336, 735, 300, 331. So, keep reading to learn more.
Given numbers are 336,735,300,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,735,300,331 is 19462800.
Find LCM of 336,735,300,331 with Prime Factorization
| 2 | 336, 735, 300, 331 |
| 2 | 168, 735, 150, 331 |
| 3 | 84, 735, 75, 331 |
| 5 | 28, 245, 25, 331 |
| 7 | 28, 49, 5, 331 |
| 4, 7, 5, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 4 x 7 x 5 x 331 = 19462800
Therefore, the lowest common multiple of 336,735,300,331 is 19462800.
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.
336 x 735 x 300 x 331 = 24523128000
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,735,300,331, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
735:3x 5x 7x 7
300:2x 2x 3x 5x 5
331:331
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 3x 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 24523128000/(1x1260)
LCM = 24523128000/1260
LCM = 19462800
Thus, we can understand that the LCM of 336,735,300,331 is 19462800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 336, 735, 300, 331
1. What is the LCM of 336, 735, 300, 331?
Answer: LCM of 336, 735, 300, 331 is 19462800.
2. How to calculate the LCM of 336, 735, 300, 331?
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 336, 735, 300, 331.
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}.