LCM of 692, 667, 957, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 667, 957, 522 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, 667, 957, 522. So, keep reading to learn more.
Given numbers are 692,667,957,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,667,957,522 is 45694836.
Find LCM of 692,667,957,522 with Prime Factorization
| 2 | 692, 667, 957, 522 |
| 3 | 346, 667, 957, 261 |
| 29 | 346, 667, 319, 87 |
| 346, 23, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 346 x 23 x 11 x 3 = 45694836
Therefore, the lowest common multiple of 692,667,957,522 is 45694836.
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 667 x 957 x 522 = 230576142456
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
667 : 1, 23, 29, 667
957 : 1, 3, 11, 29, 33, 87, 319, 957
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,667,957,522, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
667:23x 29
957:3x 11x 29
522:2x 3x 3x 29
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 29x 29 = 5046
Therefore, the value for common factors is 5046.
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 = 230576142456/(1x5046)
LCM = 230576142456/5046
LCM = 45694836
Thus, we can understand that the LCM of 692,667,957,522 is 45694836.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 692, 667, 957, 522
1. What is the LCM of 692, 667, 957, 522?
Answer: LCM of 692, 667, 957, 522 is 45694836.
2. How to calculate the LCM of 692, 667, 957, 522?
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, 667, 957, 522.
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}.