LCM of 119, 904, 979, 150
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 119, 904, 979, 150 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 119, 904, 979, 150. So, keep reading to learn more.
Given numbers are 119,904,979,150
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,904,979,150 is 7898767800.
Find LCM of 119,904,979,150 with Prime Factorization
| 2 | 119, 904, 979, 150 |
| 119, 452, 979, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 119 x 452 x 979 x 75 = 7898767800
Therefore, the lowest common multiple of 119,904,979,150 is 7898767800.
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.
119 x 904 x 979 x 150 = 15797535600
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.
119 : 1, 7, 17, 119
904 : 1, 2, 4, 8, 113, 226, 452, 904
979 : 1, 11, 89, 979
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,904,979,150, is 1.
Now, the common factors can be found like this.
119:7x 17
904:2x 2x 2x 113
979:11x 89
150:2x 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.
2 = 2
Therefore, the value for common factors is 2.
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 = 15797535600/(1x2)
LCM = 15797535600/2
LCM = 7898767800
Thus, we can understand that the LCM of 119,904,979,150 is 7898767800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 119, 904, 979, 150
1. What is the LCM of 119, 904, 979, 150?
Answer: LCM of 119, 904, 979, 150 is 7898767800.
2. How to calculate the LCM of 119, 904, 979, 150?
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 119, 904, 979, 150.
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}.