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LCM of 243, 548, 143, 704

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


Find the LCM of 243, 548, 143, 704 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 243, 548, 143, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 243,548,143,704

Given numbers are 243,548,143,704

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

The LCM of 243,548,143,704 is 304679232.

Find LCM of 243,548,143,704 with Prime Factorization


2 243, 548, 143, 704
2 243, 274, 143, 352
11 243, 137, 143, 176
243, 137, 13, 16

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

2 x 2 x 11 x 243 x 137 x 13 x 16 = 304679232

Therefore, the lowest common multiple of 243,548,143,704 is 304679232.

LCM Formula to Find Lowest Common Multiple of 243,548,143,704

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.

243 x 548 x 143 x 704 = 13405886208

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.

243 : 1, 3, 9, 27, 81, 243

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

143 : 1, 11, 13, 143

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,548,143,704, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

548:2x 2x 137

143:11x 13

704:2x 2x 2x 2x 2x 2x 11

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 11 = 44

Therefore, the value for common factors is 44.

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 = 13405886208/(1x44)

LCM = 13405886208/44

LCM = 304679232

Thus, we can understand that the LCM of 243,548,143,704 is 304679232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 243, 548, 143, 704

1. What is the LCM of 243, 548, 143, 704?

Answer: LCM of 243, 548, 143, 704 is 304679232.

2. How to calculate the LCM of 243, 548, 143, 704?

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 243, 548, 143, 704.

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}.