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LCM of 429, 207, 104, 548

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


Find the LCM of 429, 207, 104, 548 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 429, 207, 104, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,207,104,548

Given numbers are 429,207,104,548

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

The LCM of 429,207,104,548 is 32442696.

Find LCM of 429,207,104,548 with Prime Factorization


2 429, 207, 104, 548
2 429, 207, 52, 274
3 429, 207, 26, 137
13 143, 69, 26, 137
11, 69, 2, 137

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

2 x 2 x 3 x 13 x 11 x 69 x 2 x 137 = 32442696

Therefore, the lowest common multiple of 429,207,104,548 is 32442696.

LCM Formula to Find Lowest Common Multiple of 429,207,104,548

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.

429 x 207 x 104 x 548 = 5061060576

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.

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

207 : 1, 3, 9, 23, 69, 207

104 : 1, 2, 4, 8, 13, 26, 52, 104

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,207,104,548, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

207:3x 3x 23

104:2x 2x 2x 13

548:2x 2x 137

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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 5061060576/(1x156)

LCM = 5061060576/156

LCM = 32442696

Thus, we can understand that the LCM of 429,207,104,548 is 32442696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 207, 104, 548

1. What is the LCM of 429, 207, 104, 548?

Answer: LCM of 429, 207, 104, 548 is 32442696.

2. How to calculate the LCM of 429, 207, 104, 548?

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 429, 207, 104, 548.

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}.