LCM of 120, 784, 899, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 120, 784, 899, 334 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 120, 784, 899, 334. So, keep reading to learn more.
Given numbers are 120,784,899,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 120,784,899,334 is 1765564080.
Find LCM of 120,784,899,334 with Prime Factorization
| 2 | 120, 784, 899, 334 |
| 2 | 60, 392, 899, 167 |
| 2 | 30, 196, 899, 167 |
| 15, 98, 899, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 15 x 98 x 899 x 167 = 1765564080
Therefore, the lowest common multiple of 120,784,899,334 is 1765564080.
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.
120 x 784 x 899 x 334 = 28249025280
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.
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
899 : 1, 29, 31, 899
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,784,899,334, is 1.
Now, the common factors can be found like this.
120:2x 2x 2x 3x 5
784:2x 2x 2x 2x 7x 7
899:29x 31
334:2x 167
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 2 = 16
Therefore, the value for common factors is 16.
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 = 28249025280/(1x16)
LCM = 28249025280/16
LCM = 1765564080
Thus, we can understand that the LCM of 120,784,899,334 is 1765564080.
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FAQs on LCM of 120, 784, 899, 334
1. What is the LCM of 120, 784, 899, 334?
Answer: LCM of 120, 784, 899, 334 is 1765564080.
2. How to calculate the LCM of 120, 784, 899, 334?
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 120, 784, 899, 334.
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}.