LCM of 869, 340, 693, 766, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 340, 693, 766, 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 869, 340, 693, 766, 495. So, keep reading to learn more.
Given numbers are 869,340,693,766,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,340,693,766,495 is 7129154340.
Find LCM of 869,340,693,766,495 with Prime Factorization
| 2 | 869, 340, 693, 766, 495 |
| 3 | 869, 170, 693, 383, 495 |
| 3 | 869, 170, 231, 383, 165 |
| 5 | 869, 170, 77, 383, 55 |
| 11 | 869, 34, 77, 383, 11 |
| 79, 34, 7, 383, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 79 x 34 x 7 x 383 x 1 = 7129154340
Therefore, the lowest common multiple of 869,340,693,766,495 is 7129154340.
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.
869 x 340 x 693 x 766 x 495 = 77636490762600
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.
869 : 1, 11, 79, 869
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
766 : 1, 2, 383, 766
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 869,340,693,766,495, is 1.
Now, the common factors can be found like this.
869:11x 79
340:2x 2x 5x 17
693:3x 3x 7x 11
766:2x 383
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.
2x 3x 3x 5x 11x 11 = 10890
Therefore, the value for common factors is 10890.
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 = 77636490762600/(1x10890)
LCM = 77636490762600/10890
LCM = 7129154340
Thus, we can understand that the LCM of 869,340,693,766,495 is 7129154340.
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FAQs on LCM of 869, 340, 693, 766, 495
1. What is the LCM of 869, 340, 693, 766, 495?
Answer: LCM of 869, 340, 693, 766, 495 is 7129154340.
2. How to calculate the LCM of 869, 340, 693, 766, 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 869, 340, 693, 766, 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}.