LCM of 603, 879, 842, 120, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 603, 879, 842, 120, 704 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 603, 879, 842, 120, 704. So, keep reading to learn more.
Given numbers are 603,879,842,120,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 603,879,842,120,704 is 261824143680.
Find LCM of 603,879,842,120,704 with Prime Factorization
| 2 | 603, 879, 842, 120, 704 |
| 2 | 603, 879, 421, 60, 352 |
| 2 | 603, 879, 421, 30, 176 |
| 3 | 603, 879, 421, 15, 88 |
| 201, 293, 421, 5, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 201 x 293 x 421 x 5 x 88 = 261824143680
Therefore, the lowest common multiple of 603,879,842,120,704 is 261824143680.
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.
603 x 879 x 842 x 120 x 704 = 37702676689920
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.
603 : 1, 3, 9, 67, 201, 603
879 : 1, 3, 293, 879
842 : 1, 2, 421, 842
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,879,842,120,704, is 1.
Now, the common factors can be found like this.
603:3x 3x 67
879:3x 293
842:2x 421
120:2x 2x 2x 3x 5
704:2x 2x 2x 2x 2x 2x 11
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 37702676689920/(1x144)
LCM = 37702676689920/144
LCM = 261824143680
Thus, we can understand that the LCM of 603,879,842,120,704 is 261824143680.
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FAQs on LCM of 603, 879, 842, 120, 704
1. What is the LCM of 603, 879, 842, 120, 704?
Answer: LCM of 603, 879, 842, 120, 704 is 261824143680.
2. How to calculate the LCM of 603, 879, 842, 120, 704?
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 603, 879, 842, 120, 704.
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}.