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LCM of 748, 762, 204, 823

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


Find the LCM of 748, 762, 204, 823 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 748, 762, 204, 823. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,762,204,823

Given numbers are 748,762,204,823

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

The LCM of 748,762,204,823 is 234545124.

Find LCM of 748,762,204,823 with Prime Factorization


2 748, 762, 204, 823
2 374, 381, 102, 823
3 187, 381, 51, 823
17 187, 127, 17, 823
11, 127, 1, 823

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

2 x 2 x 3 x 17 x 11 x 127 x 1 x 823 = 234545124

Therefore, the lowest common multiple of 748,762,204,823 is 234545124.

LCM Formula to Find Lowest Common Multiple of 748,762,204,823

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.

748 x 762 x 204 x 823 = 95694410592

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.

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

762 : 1, 2, 3, 6, 127, 254, 381, 762

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

823 : 1, 823

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,762,204,823, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

762:2x 3x 127

204:2x 2x 3x 17

823:823

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 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 95694410592/(1x408)

LCM = 95694410592/408

LCM = 234545124

Thus, we can understand that the LCM of 748,762,204,823 is 234545124.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 762, 204, 823

1. What is the LCM of 748, 762, 204, 823?

Answer: LCM of 748, 762, 204, 823 is 234545124.

2. How to calculate the LCM of 748, 762, 204, 823?

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 748, 762, 204, 823.

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}.