LCM of 697, 934, 756, 349, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 934, 756, 349, 777 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, 934, 756, 349, 777. So, keep reading to learn more.
Given numbers are 697,934,756,349,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,934,756,349,777 is 3177595451772.
Find LCM of 697,934,756,349,777 with Prime Factorization
| 2 | 697, 934, 756, 349, 777 |
| 3 | 697, 467, 378, 349, 777 |
| 7 | 697, 467, 126, 349, 259 |
| 697, 467, 18, 349, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 697 x 467 x 18 x 349 x 37 = 3177595451772
Therefore, the lowest common multiple of 697,934,756,349,777 is 3177595451772.
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 934 x 756 x 349 x 777 = 133459008974424
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
934 : 1, 2, 467, 934
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
349 : 1, 349
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,934,756,349,777, is 1.
Now, the common factors can be found like this.
697:17x 41
934:2x 467
756:2x 2x 3x 3x 3x 7
349:349
777:3x 7x 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 7 = 42
Therefore, the value for common factors is 42.
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 = 133459008974424/(1x42)
LCM = 133459008974424/42
LCM = 3177595451772
Thus, we can understand that the LCM of 697,934,756,349,777 is 3177595451772.
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FAQs on LCM of 697, 934, 756, 349, 777
1. What is the LCM of 697, 934, 756, 349, 777?
Answer: LCM of 697, 934, 756, 349, 777 is 3177595451772.
2. How to calculate the LCM of 697, 934, 756, 349, 777?
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, 934, 756, 349, 777.
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}.