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 139, 748, 884, 826

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


Find the LCM of 139, 748, 884, 826 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 139, 748, 884, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 139,748,884,826

Given numbers are 139,748,884,826

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

The LCM of 139,748,884,826 is 558225668.

Find LCM of 139,748,884,826 with Prime Factorization


2 139, 748, 884, 826
2 139, 374, 442, 413
17 139, 187, 221, 413
139, 11, 13, 413

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

2 x 2 x 17 x 139 x 11 x 13 x 413 = 558225668

Therefore, the lowest common multiple of 139,748,884,826 is 558225668.

LCM Formula to Find Lowest Common Multiple of 139,748,884,826

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.

139 x 748 x 884 x 826 = 75918690848

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.

139 : 1, 139

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

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,748,884,826, is 1.

Now, the common factors can be found like this.

139:139

748:2x 2x 11x 17

884:2x 2x 13x 17

826:2x 7x 59

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 17 = 136

Therefore, the value for common factors is 136.

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 = 75918690848/(1x136)

LCM = 75918690848/136

LCM = 558225668

Thus, we can understand that the LCM of 139,748,884,826 is 558225668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 139, 748, 884, 826

1. What is the LCM of 139, 748, 884, 826?

Answer: LCM of 139, 748, 884, 826 is 558225668.

2. How to calculate the LCM of 139, 748, 884, 826?

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 139, 748, 884, 826.

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}.