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LCM of 749, 308, 826, 814

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


Find the LCM of 749, 308, 826, 814 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 749, 308, 826, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,308,826,814

Given numbers are 749,308,826,814

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

The LCM of 749,308,826,814 is 71942948.

Find LCM of 749,308,826,814 with Prime Factorization


2 749, 308, 826, 814
7 749, 154, 413, 407
11 107, 22, 59, 407
107, 2, 59, 37

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

2 x 7 x 11 x 107 x 2 x 59 x 37 = 71942948

Therefore, the lowest common multiple of 749,308,826,814 is 71942948.

LCM Formula to Find Lowest Common Multiple of 749,308,826,814

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.

749 x 308 x 826 x 814 = 155108995888

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.

749 : 1, 7, 107, 749

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

826 : 1, 2, 7, 14, 59, 118, 413, 826

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,308,826,814, is 1.

Now, the common factors can be found like this.

749:7x 107

308:2x 2x 7x 11

826:2x 7x 59

814:2x 11x 37

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 7x 7x 11 = 2156

Therefore, the value for common factors is 2156.

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 = 155108995888/(1x2156)

LCM = 155108995888/2156

LCM = 71942948

Thus, we can understand that the LCM of 749,308,826,814 is 71942948.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 308, 826, 814

1. What is the LCM of 749, 308, 826, 814?

Answer: LCM of 749, 308, 826, 814 is 71942948.

2. How to calculate the LCM of 749, 308, 826, 814?

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 749, 308, 826, 814.

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}.