LCM of 558, 493, 667, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 493, 667, 319 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 558, 493, 667, 319. So, keep reading to learn more.
Given numbers are 558,493,667,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,493,667,319 is 69598782.
Find LCM of 558,493,667,319 with Prime Factorization
| 29 | 558, 493, 667, 319 |
| 558, 17, 23, 11 |
Multiply the prime numbers at the bottom and the left side.
29 x 558 x 17 x 23 x 11 = 69598782
Therefore, the lowest common multiple of 558,493,667,319 is 69598782.
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.
558 x 493 x 667 x 319 = 58532575662
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
493 : 1, 17, 29, 493
667 : 1, 23, 29, 667
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,493,667,319, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
493:17x 29
667:23x 29
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 29 = 841
Therefore, the value for common factors is 841.
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 = 58532575662/(1x841)
LCM = 58532575662/841
LCM = 69598782
Thus, we can understand that the LCM of 558,493,667,319 is 69598782.
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FAQs on LCM of 558, 493, 667, 319
1. What is the LCM of 558, 493, 667, 319?
Answer: LCM of 558, 493, 667, 319 is 69598782.
2. How to calculate the LCM of 558, 493, 667, 319?
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 558, 493, 667, 319.
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}.