LCM of 689, 429, 546, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 429, 546, 429 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 689, 429, 546, 429. So, keep reading to learn more.
Given numbers are 689,429,546,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,429,546,429 is 318318.
Find LCM of 689,429,546,429 with Prime Factorization
| 3 | 689, 429, 546, 429 |
| 11 | 689, 143, 182, 143 |
| 13 | 689, 13, 182, 13 |
| 53, 1, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 53 x 1 x 14 x 1 = 318318
Therefore, the lowest common multiple of 689,429,546,429 is 318318.
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.
689 x 429 x 546 x 429 = 69235119954
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.
689 : 1, 13, 53, 689
429 : 1, 3, 11, 13, 33, 39, 143, 429
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
429 : 1, 3, 11, 13, 33, 39, 143, 429
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,429,546,429, is 13.
Now, the common factors can be found like this.
689:13x 53
429:3x 11x 13
546:2x 3x 7x 13
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 13x 13 = 16731
Therefore, the value for common factors is 16731.
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 = 69235119954/(13x16731)
LCM = 69235119954/217503
LCM = 318318
Thus, we can understand that the LCM of 689,429,546,429 is 318318.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 429, 546, 429
1. What is the LCM of 689, 429, 546, 429?
Answer: LCM of 689, 429, 546, 429 is 318318.
2. How to calculate the LCM of 689, 429, 546, 429?
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 689, 429, 546, 429.
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}.