LCM of 692, 649, 693, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 649, 693, 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 692, 649, 693, 495. So, keep reading to learn more.
Given numbers are 692,649,693,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,649,693,495 is 141469020.
Find LCM of 692,649,693,495 with Prime Factorization
| 3 | 692, 649, 693, 495 |
| 3 | 692, 649, 231, 165 |
| 11 | 692, 649, 77, 55 |
| 692, 59, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 692 x 59 x 7 x 5 = 141469020
Therefore, the lowest common multiple of 692,649,693,495 is 141469020.
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.
692 x 649 x 693 x 495 = 154059762780
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.
692 : 1, 2, 4, 173, 346, 692
649 : 1, 11, 59, 649
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
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 692,649,693,495, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
649:11x 59
693:3x 3x 7x 11
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 11x 11 = 1089
Therefore, the value for common factors is 1089.
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 = 154059762780/(1x1089)
LCM = 154059762780/1089
LCM = 141469020
Thus, we can understand that the LCM of 692,649,693,495 is 141469020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 692, 649, 693, 495
1. What is the LCM of 692, 649, 693, 495?
Answer: LCM of 692, 649, 693, 495 is 141469020.
2. How to calculate the LCM of 692, 649, 693, 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 692, 649, 693, 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}.