LCM of 697, 187, 856, 749, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 187, 856, 749, 448 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, 187, 856, 749, 448. So, keep reading to learn more.
Given numbers are 697,187,856,749,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,187,856,749,448 is 367525312.
Find LCM of 697,187,856,749,448 with Prime Factorization
| 2 | 697, 187, 856, 749, 448 |
| 2 | 697, 187, 428, 749, 224 |
| 2 | 697, 187, 214, 749, 112 |
| 7 | 697, 187, 107, 749, 56 |
| 17 | 697, 187, 107, 107, 8 |
| 107 | 41, 11, 107, 107, 8 |
| 41, 11, 1, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 17 x 107 x 41 x 11 x 1 x 1 x 8 = 367525312
Therefore, the lowest common multiple of 697,187,856,749,448 is 367525312.
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 187 x 856 x 749 x 448 = 37437598381568
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
187 : 1, 11, 17, 187
856 : 1, 2, 4, 8, 107, 214, 428, 856
749 : 1, 7, 107, 749
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,187,856,749,448, is 1.
Now, the common factors can be found like this.
697:17x 41
187:11x 17
856:2x 2x 2x 107
749:7x 107
448:2x 2x 2x 2x 2x 2x 7
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 7x 17x 107 = 101864
Therefore, the value for common factors is 101864.
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 = 37437598381568/(1x101864)
LCM = 37437598381568/101864
LCM = 367525312
Thus, we can understand that the LCM of 697,187,856,749,448 is 367525312.
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FAQs on LCM of 697, 187, 856, 749, 448
1. What is the LCM of 697, 187, 856, 749, 448?
Answer: LCM of 697, 187, 856, 749, 448 is 367525312.
2. How to calculate the LCM of 697, 187, 856, 749, 448?
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, 187, 856, 749, 448.
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}.