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LCM of 243, 793, 956, 302

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


Find the LCM of 243, 793, 956, 302 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, 793, 956, 302. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 243,793,956,302

Given numbers are 243,793,956,302

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

The LCM of 243,793,956,302 is 27817256844.

Find LCM of 243,793,956,302 with Prime Factorization


2 243, 793, 956, 302
243, 793, 478, 151

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

2 x 243 x 793 x 478 x 151 = 27817256844

Therefore, the lowest common multiple of 243,793,956,302 is 27817256844.

LCM Formula to Find Lowest Common Multiple of 243,793,956,302

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 793 x 956 x 302 = 55634513688

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

793 : 1, 13, 61, 793

956 : 1, 2, 4, 239, 478, 956

302 : 1, 2, 151, 302

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,793,956,302, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

793:13x 61

956:2x 2x 239

302:2x 151

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 55634513688/(1x2)

LCM = 55634513688/2

LCM = 27817256844

Thus, we can understand that the LCM of 243,793,956,302 is 27817256844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 243, 793, 956, 302

1. What is the LCM of 243, 793, 956, 302?

Answer: LCM of 243, 793, 956, 302 is 27817256844.

2. How to calculate the LCM of 243, 793, 956, 302?

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, 793, 956, 302.

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}.