LCM of 368, 403, 312, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 403, 312, 900 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 368, 403, 312, 900. So, keep reading to learn more.
Given numbers are 368,403,312,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,403,312,900 is 33368400.
Find LCM of 368,403,312,900 with Prime Factorization
| 2 | 368, 403, 312, 900 |
| 2 | 184, 403, 156, 450 |
| 2 | 92, 403, 78, 225 |
| 3 | 46, 403, 39, 225 |
| 13 | 46, 403, 13, 75 |
| 46, 31, 1, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 46 x 31 x 1 x 75 = 33368400
Therefore, the lowest common multiple of 368,403,312,900 is 33368400.
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.
368 x 403 x 312 x 900 = 41643763200
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
403 : 1, 13, 31, 403
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,403,312,900, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
403:13x 31
312:2x 2x 2x 3x 13
900:2x 2x 3x 3x 5x 5
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 2x 3x 13 = 1248
Therefore, the value for common factors is 1248.
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 = 41643763200/(1x1248)
LCM = 41643763200/1248
LCM = 33368400
Thus, we can understand that the LCM of 368,403,312,900 is 33368400.
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FAQs on LCM of 368, 403, 312, 900
1. What is the LCM of 368, 403, 312, 900?
Answer: LCM of 368, 403, 312, 900 is 33368400.
2. How to calculate the LCM of 368, 403, 312, 900?
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 368, 403, 312, 900.
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}.