LCM of 493, 663, 127, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 663, 127, 689 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 493, 663, 127, 689. So, keep reading to learn more.
Given numbers are 493,663,127,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,663,127,689 is 129416937.
Find LCM of 493,663,127,689 with Prime Factorization
| 13 | 493, 663, 127, 689 |
| 17 | 493, 51, 127, 53 |
| 29, 3, 127, 53 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 29 x 3 x 127 x 53 = 129416937
Therefore, the lowest common multiple of 493,663,127,689 is 129416937.
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.
493 x 663 x 127 x 689 = 28601143077
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.
493 : 1, 17, 29, 493
663 : 1, 3, 13, 17, 39, 51, 221, 663
127 : 1, 127
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,663,127,689, is 1.
Now, the common factors can be found like this.
493:17x 29
663:3x 13x 17
127:127
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 28601143077/(1x221)
LCM = 28601143077/221
LCM = 129416937
Thus, we can understand that the LCM of 493,663,127,689 is 129416937.
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FAQs on LCM of 493, 663, 127, 689
1. What is the LCM of 493, 663, 127, 689?
Answer: LCM of 493, 663, 127, 689 is 129416937.
2. How to calculate the LCM of 493, 663, 127, 689?
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 493, 663, 127, 689.
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}.