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LCM of 823, 366, 238, 749

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


Find the LCM of 823, 366, 238, 749 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 823, 366, 238, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 823,366,238,749

Given numbers are 823,366,238,749

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

The LCM of 823,366,238,749 is 3835408794.

Find LCM of 823,366,238,749 with Prime Factorization


2 823, 366, 238, 749
7 823, 183, 119, 749
823, 183, 17, 107

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

2 x 7 x 823 x 183 x 17 x 107 = 3835408794

Therefore, the lowest common multiple of 823,366,238,749 is 3835408794.

LCM Formula to Find Lowest Common Multiple of 823,366,238,749

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.

823 x 366 x 238 x 749 = 53695723116

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.

823 : 1, 823

366 : 1, 2, 3, 6, 61, 122, 183, 366

238 : 1, 2, 7, 14, 17, 34, 119, 238

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,366,238,749, is 1.

Now, the common factors can be found like this.

823:823

366:2x 3x 61

238:2x 7x 17

749:7x 107

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 53695723116/(1x14)

LCM = 53695723116/14

LCM = 3835408794

Thus, we can understand that the LCM of 823,366,238,749 is 3835408794.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 823, 366, 238, 749

1. What is the LCM of 823, 366, 238, 749?

Answer: LCM of 823, 366, 238, 749 is 3835408794.

2. How to calculate the LCM of 823, 366, 238, 749?

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 823, 366, 238, 749.

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}.