LCM of 999, 695, 740, 192, 679
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 999, 695, 740, 192, 679 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 999, 695, 740, 192, 679. So, keep reading to learn more.
Given numbers are 999,695,740,192,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 999,695,740,192,679 is 30171718080.
Find LCM of 999,695,740,192,679 with Prime Factorization
| 2 | 999, 695, 740, 192, 679 |
| 2 | 999, 695, 370, 96, 679 |
| 3 | 999, 695, 185, 48, 679 |
| 5 | 333, 695, 185, 16, 679 |
| 37 | 333, 139, 37, 16, 679 |
| 9, 139, 1, 16, 679 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 37 x 9 x 139 x 1 x 16 x 679 = 30171718080
Therefore, the lowest common multiple of 999,695,740,192,679 is 30171718080.
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.
999 x 695 x 740 x 192 x 679 = 66981214137600
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.
999 : 1, 3, 9, 27, 37, 111, 333, 999
695 : 1, 5, 139, 695
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 999,695,740,192,679, is 1.
Now, the common factors can be found like this.
999:3x 3x 3x 37
695:5x 139
740:2x 2x 5x 37
192:2x 2x 2x 2x 2x 2x 3
679:7x 97
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 3x 5x 37 = 2220
Therefore, the value for common factors is 2220.
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 = 66981214137600/(1x2220)
LCM = 66981214137600/2220
LCM = 30171718080
Thus, we can understand that the LCM of 999,695,740,192,679 is 30171718080.
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FAQs on LCM of 999, 695, 740, 192, 679
1. What is the LCM of 999, 695, 740, 192, 679?
Answer: LCM of 999, 695, 740, 192, 679 is 30171718080.
2. How to calculate the LCM of 999, 695, 740, 192, 679?
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 999, 695, 740, 192, 679.
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}.