LCM of 314, 282, 832, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 282, 832, 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 314, 282, 832, 900. So, keep reading to learn more.
Given numbers are 314,282,832,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,282,832,900 is 1381348800.
Find LCM of 314,282,832,900 with Prime Factorization
| 2 | 314, 282, 832, 900 |
| 2 | 157, 141, 416, 450 |
| 3 | 157, 141, 208, 225 |
| 157, 47, 208, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 157 x 47 x 208 x 75 = 1381348800
Therefore, the lowest common multiple of 314,282,832,900 is 1381348800.
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.
314 x 282 x 832 x 900 = 66304742400
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.
314 : 1, 2, 157, 314
282 : 1, 2, 3, 6, 47, 94, 141, 282
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,282,832,900, is 2.
Now, the common factors can be found like this.
314:2x 157
282:2x 3x 47
832:2x 2x 2x 2x 2x 2x 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 3 = 24
Therefore, the value for common factors is 24.
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 = 66304742400/(2x24)
LCM = 66304742400/48
LCM = 1381348800
Thus, we can understand that the LCM of 314,282,832,900 is 1381348800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 314, 282, 832, 900
1. What is the LCM of 314, 282, 832, 900?
Answer: LCM of 314, 282, 832, 900 is 1381348800.
2. How to calculate the LCM of 314, 282, 832, 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 314, 282, 832, 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}.