LCM of 6, 475, 703, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6, 475, 703, 888 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 6, 475, 703, 888. So, keep reading to learn more.
Given numbers are 6,475,703,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6,475,703,888 is 421800.
Find LCM of 6,475,703,888 with Prime Factorization
| 2 | 6, 475, 703, 888 |
| 3 | 3, 475, 703, 444 |
| 19 | 1, 475, 703, 148 |
| 37 | 1, 25, 37, 148 |
| 1, 25, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 37 x 1 x 25 x 1 x 4 = 421800
Therefore, the lowest common multiple of 6,475,703,888 is 421800.
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.
6 x 475 x 703 x 888 = 1779152400
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.
6 : 1, 2, 3, 6
475 : 1, 5, 19, 25, 95, 475
703 : 1, 19, 37, 703
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,475,703,888, is 1.
Now, the common factors can be found like this.
6:2x 3
475:5x 5x 19
703:19x 37
888:2x 2x 2x 3x 37
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 19x 37 = 4218
Therefore, the value for common factors is 4218.
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 = 1779152400/(1x4218)
LCM = 1779152400/4218
LCM = 421800
Thus, we can understand that the LCM of 6,475,703,888 is 421800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 6, 475, 703, 888
1. What is the LCM of 6, 475, 703, 888?
Answer: LCM of 6, 475, 703, 888 is 421800.
2. How to calculate the LCM of 6, 475, 703, 888?
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 6, 475, 703, 888.
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}.