LCM of 697, 216, 111, 740, 160
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 216, 111, 740, 160 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 697, 216, 111, 740, 160. So, keep reading to learn more.
Given numbers are 697,216,111,740,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,216,111,740,160 is 111408480.
Find LCM of 697,216,111,740,160 with Prime Factorization
| 2 | 697, 216, 111, 740, 160 |
| 2 | 697, 108, 111, 370, 80 |
| 2 | 697, 54, 111, 185, 40 |
| 3 | 697, 27, 111, 185, 20 |
| 5 | 697, 9, 37, 185, 20 |
| 37 | 697, 9, 37, 37, 4 |
| 697, 9, 1, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 37 x 697 x 9 x 1 x 1 x 4 = 111408480
Therefore, the lowest common multiple of 697,216,111,740,160 is 111408480.
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.
697 x 216 x 111 x 740 x 160 = 1978614604800
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.
697 : 1, 17, 41, 697
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
111 : 1, 3, 37, 111
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,216,111,740,160, is 1.
Now, the common factors can be found like this.
697:17x 41
216:2x 2x 2x 3x 3x 3
111:3x 37
740:2x 2x 5x 37
160:2x 2x 2x 2x 2x 5
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 2x 3x 5x 37 = 17760
Therefore, the value for common factors is 17760.
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 = 1978614604800/(1x17760)
LCM = 1978614604800/17760
LCM = 111408480
Thus, we can understand that the LCM of 697,216,111,740,160 is 111408480.
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FAQs on LCM of 697, 216, 111, 740, 160
1. What is the LCM of 697, 216, 111, 740, 160?
Answer: LCM of 697, 216, 111, 740, 160 is 111408480.
2. How to calculate the LCM of 697, 216, 111, 740, 160?
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 697, 216, 111, 740, 160.
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}.