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LCM of 226, 748, 793, 235

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


Find the LCM of 226, 748, 793, 235 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 226, 748, 793, 235. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 226,748,793,235

Given numbers are 226,748,793,235

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

The LCM of 226,748,793,235 is 15751470020.

Find LCM of 226,748,793,235 with Prime Factorization


2 226, 748, 793, 235
113, 374, 793, 235

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

2 x 113 x 374 x 793 x 235 = 15751470020

Therefore, the lowest common multiple of 226,748,793,235 is 15751470020.

LCM Formula to Find Lowest Common Multiple of 226,748,793,235

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.

226 x 748 x 793 x 235 = 31502940040

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.

226 : 1, 2, 113, 226

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

793 : 1, 13, 61, 793

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,748,793,235, is 1.

Now, the common factors can be found like this.

226:2x 113

748:2x 2x 11x 17

793:13x 61

235:5x 47

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 = 31502940040/(1x2)

LCM = 31502940040/2

LCM = 15751470020

Thus, we can understand that the LCM of 226,748,793,235 is 15751470020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 226, 748, 793, 235

1. What is the LCM of 226, 748, 793, 235?

Answer: LCM of 226, 748, 793, 235 is 15751470020.

2. How to calculate the LCM of 226, 748, 793, 235?

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 226, 748, 793, 235.

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}.