LCM of 339, 900, 894, 787
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 900, 894, 787 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 339, 900, 894, 787. So, keep reading to learn more.
Given numbers are 339,900,894,787
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,900,894,787 is 11925647100.
Find LCM of 339,900,894,787 with Prime Factorization
| 2 | 339, 900, 894, 787 |
| 3 | 339, 450, 447, 787 |
| 113, 150, 149, 787 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 150 x 149 x 787 = 11925647100
Therefore, the lowest common multiple of 339,900,894,787 is 11925647100.
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.
339 x 900 x 894 x 787 = 214661647800
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.
339 : 1, 3, 113, 339
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
894 : 1, 2, 3, 6, 149, 298, 447, 894
787 : 1, 787
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,900,894,787, is 1.
Now, the common factors can be found like this.
339:3x 113
900:2x 2x 3x 3x 5x 5
894:2x 3x 149
787:787
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 214661647800/(1x18)
LCM = 214661647800/18
LCM = 11925647100
Thus, we can understand that the LCM of 339,900,894,787 is 11925647100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 339, 900, 894, 787
1. What is the LCM of 339, 900, 894, 787?
Answer: LCM of 339, 900, 894, 787 is 11925647100.
2. How to calculate the LCM of 339, 900, 894, 787?
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 339, 900, 894, 787.
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}.