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 427, 556, 715, 278, 423

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


Find the LCM of 427, 556, 715, 278, 423 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 427, 556, 715, 278, 423. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 427,556,715,278,423

Given numbers are 427,556,715,278,423

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

The LCM of 427,556,715,278,423 is 71804072340.

Find LCM of 427,556,715,278,423 with Prime Factorization


2 427, 556, 715, 278, 423
139 427, 278, 715, 139, 423
427, 2, 715, 1, 423

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

2 x 139 x 427 x 2 x 715 x 1 x 423 = 71804072340

Therefore, the lowest common multiple of 427,556,715,278,423 is 71804072340.

LCM Formula to Find Lowest Common Multiple of 427,556,715,278,423

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.

427 x 556 x 715 x 278 x 423 = 19961532110520

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.

427 : 1, 7, 61, 427

556 : 1, 2, 4, 139, 278, 556

715 : 1, 5, 11, 13, 55, 65, 143, 715

278 : 1, 2, 139, 278

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,556,715,278,423, is 1.

Now, the common factors can be found like this.

427:7x 61

556:2x 2x 139

715:5x 11x 13

278:2x 139

423:3x 3x 47

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

2x 139 = 278

Therefore, the value for common factors is 278.

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 = 19961532110520/(1x278)

LCM = 19961532110520/278

LCM = 71804072340

Thus, we can understand that the LCM of 427,556,715,278,423 is 71804072340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 427, 556, 715, 278, 423

1. What is the LCM of 427, 556, 715, 278, 423?

Answer: LCM of 427, 556, 715, 278, 423 is 71804072340.

2. How to calculate the LCM of 427, 556, 715, 278, 423?

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 427, 556, 715, 278, 423.

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}.