LCM of 686, 549, 342, 253, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 549, 342, 253, 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 686, 549, 342, 253, 495. So, keep reading to learn more.
Given numbers are 686,549,342,253,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,549,342,253,495 is 9051917490.
Find LCM of 686,549,342,253,495 with Prime Factorization
| 2 | 686, 549, 342, 253, 495 |
| 3 | 343, 549, 171, 253, 495 |
| 3 | 343, 183, 57, 253, 165 |
| 11 | 343, 61, 19, 253, 55 |
| 343, 61, 19, 23, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 343 x 61 x 19 x 23 x 5 = 9051917490
Therefore, the lowest common multiple of 686,549,342,253,495 is 9051917490.
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.
686 x 549 x 342 x 253 x 495 = 16130516967180
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
549 : 1, 3, 9, 61, 183, 549
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
253 : 1, 11, 23, 253
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 686,549,342,253,495, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
549:3x 3x 61
342:2x 3x 3x 19
253:11x 23
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 3x 3x 11 = 1782
Therefore, the value for common factors is 1782.
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 = 16130516967180/(1x1782)
LCM = 16130516967180/1782
LCM = 9051917490
Thus, we can understand that the LCM of 686,549,342,253,495 is 9051917490.
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FAQs on LCM of 686, 549, 342, 253, 495
1. What is the LCM of 686, 549, 342, 253, 495?
Answer: LCM of 686, 549, 342, 253, 495 is 9051917490.
2. How to calculate the LCM of 686, 549, 342, 253, 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 686, 549, 342, 253, 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}.