LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 549, 892, 826, 764

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


Find the LCM of 549, 892, 826, 764 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 549, 892, 826, 764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 549,892,826,764

Given numbers are 549,892,826,764

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

The LCM of 549,892,826,764 is 38629636164.

Find LCM of 549,892,826,764 with Prime Factorization


2 549, 892, 826, 764
2 549, 446, 413, 382
549, 223, 413, 191

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

2 x 2 x 549 x 223 x 413 x 191 = 38629636164

Therefore, the lowest common multiple of 549,892,826,764 is 38629636164.

LCM Formula to Find Lowest Common Multiple of 549,892,826,764

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.

549 x 892 x 826 x 764 = 309037089312

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.

549 : 1, 3, 9, 61, 183, 549

892 : 1, 2, 4, 223, 446, 892

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

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,892,826,764, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

892:2x 2x 223

826:2x 7x 59

764:2x 2x 191

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 2 = 8

Therefore, the value for common factors is 8.

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 = 309037089312/(1x8)

LCM = 309037089312/8

LCM = 38629636164

Thus, we can understand that the LCM of 549,892,826,764 is 38629636164.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 549, 892, 826, 764

1. What is the LCM of 549, 892, 826, 764?

Answer: LCM of 549, 892, 826, 764 is 38629636164.

2. How to calculate the LCM of 549, 892, 826, 764?

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 549, 892, 826, 764.

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}.