LCM of 697, 738, 965, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 738, 965, 495 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, 738, 965, 495. So, keep reading to learn more.
Given numbers are 697,738,965,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,738,965,495 is 133175790.
Find LCM of 697,738,965,495 with Prime Factorization
| 3 | 697, 738, 965, 495 |
| 3 | 697, 246, 965, 165 |
| 5 | 697, 82, 965, 55 |
| 41 | 697, 82, 193, 11 |
| 17, 2, 193, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 41 x 17 x 2 x 193 x 11 = 133175790
Therefore, the lowest common multiple of 697,738,965,495 is 133175790.
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 738 x 965 x 495 = 245709332550
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
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
965 : 1, 5, 193, 965
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,738,965,495, is 1.
Now, the common factors can be found like this.
697:17x 41
738:2x 3x 3x 41
965:5x 193
495:3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 41 = 1845
Therefore, the value for common factors is 1845.
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 = 245709332550/(1x1845)
LCM = 245709332550/1845
LCM = 133175790
Thus, we can understand that the LCM of 697,738,965,495 is 133175790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 738, 965, 495
1. What is the LCM of 697, 738, 965, 495?
Answer: LCM of 697, 738, 965, 495 is 133175790.
2. How to calculate the LCM of 697, 738, 965, 495?
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, 738, 965, 495.
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}.