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LCM of 546, 360, 408, 429

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 546, 360, 408, 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 546, 360, 408, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,360,408,429

Given numbers are 546,360,408,429

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 546,360,408,429 is 6126120.

Find LCM of 546,360,408,429 with Prime Factorization


2 546, 360, 408, 429
2 273, 180, 204, 429
2 273, 90, 102, 429
3 273, 45, 51, 429
13 91, 15, 17, 143
7, 15, 17, 11

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 13 x 7 x 15 x 17 x 11 = 6126120

Therefore, the lowest common multiple of 546,360,408,429 is 6126120.

LCM Formula to Find Lowest Common Multiple of 546,360,408,429

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.

546 x 360 x 408 x 429 = 34404289920

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

429 : 1, 3, 11, 13, 33, 39, 143, 429

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,360,408,429, is 3.

Now, the common factors can be found like this.

546:2x 3x 7x 13

360:2x 2x 2x 3x 3x 5

408:2x 2x 2x 3x 17

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.

2x 2x 2x 2x 3x 3x 13 = 1872

Therefore, the value for common factors is 1872.

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 = 34404289920/(3x1872)

LCM = 34404289920/5616

LCM = 6126120

Thus, we can understand that the LCM of 546,360,408,429 is 6126120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 360, 408, 429

1. What is the LCM of 546, 360, 408, 429?

Answer: LCM of 546, 360, 408, 429 is 6126120.

2. How to calculate the LCM of 546, 360, 408, 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 546, 360, 408, 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}.